Problem

Part 1 of 2
Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts
5x2=26x+24
Rewrite the equation in factored form.
]=0
(Factor completely.)

Answer

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Answer

x=45,x=6

Steps

Step 1 :Rewrite the equation in the standard form, which is ax2+bx+c=0. The given equation is 5x2=26x+24, so the standard form is 5x226x24=0.

Step 2 :Factor the equation. The factored form of the equation is (x6)(5x+4)=0.

Step 3 :Solve for x by setting each factor equal to zero. This gives us the solutions x=45 and x=6.

Step 4 :x=45,x=6

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