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Solve the following equation for
x. Express your answer in the simplest form.

-4(-4x+5)=5(-2x-7)

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $-4(-4 x+5)=5(-2 x-7)$ $\newline$

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Write a quadratic function from its x-intercepts and another point

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

-4(-4 x+5)=5(-2 x-7)

\newline

Distribute and Simplify: First, distribute the $-4$ on the left side of the equation and the $5$ on the right side of the equation. $\newline$ $-4(-4x) + -4(5) = 5(-2x) + 5(-7)$ $\newline$ $16x - 20 = -10x - 35$
Combine Like Terms: Next, add $10x$ to both sides of the equation to get all the $x$ terms on one side. $\newline$ $16x + 10x - 20 = -10x + 10x - 35$ $\newline$ $26x - 20 = -35$
Isolate x Term: Then, add $20$ to both sides of the equation to isolate the term with $x$ . $\newline$ $26x - 20 + 20 = -35 + 20$ $\newline$ $26x = -15$
Solve for x: Finally, divide both sides by $26$ to solve for $x$ . $\newline$ $\frac{26x}{26} = \frac{-15}{26}$ $\newline$ $x = \frac{-15}{26}$

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