-20x^2+25x^2y-40x=-5x(4x-5xy+c) What is the value of c?

Distribute Terms: Distribute -5x across the terms inside the parentheses on the right side of the equation. -5x * 4x = -20x^2 -5x * -5xy = 25x^2y -5x * c = -5xcCompare Distributed Terms: Compare the distributed terms with the corresponding terms on the left side of the equation. The term -20x^2 on the left matches the term -20x^2 on the right. The term 25x^2y on the left matches the term 25x^2y on the right. The term -40x on the left should match the term -5xc on the right.Set Equation Equal: Set the unmatched terms equal to each other to solve for c. -40x = -5xcDivide to Solve: Divide both sides of the equation by -5x to solve for c. c = -40x / -5xSimplify for c: Simplify the equation to find the value of c. c = 8

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-20x^{2} + 25x^{2}y - 40x = -5x(4x - 5xy + c)

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What is the value of c?

Distribute Terms: Distribute $-5x$ across the terms inside the parentheses on the right side of the equation. $\newline$ $-5x \times 4x = -20x^2$ $\newline$ $-5x \times -5xy = 25x^2y$ $\newline$ $-5x \times c = -5xc$
Compare Distributed Terms: Compare the distributed terms with the corresponding terms on the left side of the equation. $\newline$ The term $-20x^2$ on the left matches the term $-20x^2$ on the right. $\newline$ The term $25x^2y$ on the left matches the term $25x^2y$ on the right. $\newline$ The term $-40x$ on the left should match the term $-5xc$ on the right.
Set Equation Equal: Set the unmatched terms equal to each other to solve for $c$ . $-40x = -5xc$
Divide to Solve: Divide both sides of the equation by $-5x$ to solve for $c$ . $c = \frac{-40x}{-5x}$
Simplify for $c$ : Simplify the equation to find the value of $c$ . $c = 8$