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Simplifying -5x^{2}+ 40x = 0 Reorder the terms: 40x + -5x^{2}= 0 Solving 40x + -5x^{2}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(8 + -1x) = 0 Ignore the factor 5.## Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0## Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8## Solution

x = {0, 8}

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