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Find All Complex Solutions -2y^2+4y+1=-6y^2
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Solution:
Step 1: Rearrange the equation
Bring all terms to one side to set the equation … |
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Simplify (x-2)/( square root of x^2-4)
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Solution:
Step 1: Simplify the expression's denominator.
Step 1.1
Express $4$ as $2^… |
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Expand the Logarithmic Expression log of (x^5)/( …
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Solution:
Step:1
Transform $log \left(\frac{x^{5}}{\sqrt{z y}}\right)$ into $log(x^{5}) -… |
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Simplify 1/(4x^2)-(2x-4)/(16x^3)
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Solution:
Step:1
Eliminate the common factors between the numerator and the denominator.
… |
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Solve for x (x-4)/6-2=x/2
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Solution:
Step 1
Scale up both sides by multiplying by $2$.
$2 \left( \frac{x - 4}{6} - 2… |
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Solve by Substitution y=-1x-5 4x-8y=4
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Solution:
Step 1:
Express $-1x$ as $-x$. We have $y = -x - 5$ and $4x - 8y = 4$.
Ste… |
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Simplify x(3x^2+4)+2(7x-3)
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Solution:
Step:1
Break down and simplify each component of the expression.
Step:1.1… |
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Evaluate csc(theta) = square root of 2
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Solution:
Step 1:
Apply the inverse cosecant to both sides to isolate $\theta$: $\theta=… |
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Simplify ((x^2)/9+1/4)/(6x)
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Solution:
Step 1: Simplify the numerator.
- **Step 1.1**: Convert $\frac{x^2}{9}$ to hav… |
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Determine if a Polynomial -10x^6-2x^5+4x^4+7x^3-9…
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Solution:
Step:1
A polynomial is an algebraic expression that consists of a sum of several… |
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Simplify (32ab^4)/(-8a^-2b)-3a^3b^3
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Solution:
Simplification Process
Step 1: Break down each component of the expression… |
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Solve for x 3/(6x-48)+1=3/(x-8)
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Solution:
Step 1:
Isolate the fraction on one side by subtracting 1 from both sides: $\fr… |
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Simplify 5x-3(x-2)-x
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Solution:
Step 1: Break down the expression
Step 1.1: Use the distributive property
… |
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Solve for x log base 4 of 5x+2=5x
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Solution:
Step 1:
Construct two separate graphs: one for the logarithmic function $y = \… |
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Simplify (-1/(2a^-2))^-3
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Solution:
Step 1:
Apply the negative exponent rule to move $a^{-2}$ to the numerator: $\… |
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Find the Domain and Range y=csc(1/2x)
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Solution:
Step:1
Identify the values that make $\csc\left(\frac{1}{2}x\right)$ undefined b… |
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Solve for x y=5x-7 , y=-22
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Solution:
Step 1: Substitute $y$ with $-22$ in the equation
Step 1.1: Perform the sub… |
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Simplify 6^-1(4^-2)
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Solution:
Step 1:
Apply the negative exponent rule $b^{-n} = \frac{1}{b^n}$ to the first… |
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Solve for b b=-1-7*6
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Solution:
Step 1:
Compute the product of $-7$ and $6$. Thus, we have $b = -1 - (-7 \time… |
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Solve by Substitution y=-3x+7 3x-5=-y
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Solution:
Step 1: Substitute the value of $y$ from the first equation into the second equ… |