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

Answer

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Answer

$\boxed{x = -\frac{4}{5}, x = 6}$

Steps

Step 1 ：Rewrite the equation in the standard form, which is $ax^2 + bx + c = 0$. The given equation is $5x^2 = 26x + 24$, so the standard form is $5x^2 - 26x - 24 = 0$.

Step 2 ：Factor the equation. The factored form of the equation is $(x - 6)(5x + 4) = 0$.

Step 3 ：Solve for $x$ by setting each factor equal to zero. This gives us the solutions $x = -\frac{4}{5}$ and $x = 6$.

Step 4 ：$\boxed{x = -\frac{4}{5}, x = 6}$

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

Answer

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