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Simplifying -5x(4x + -8y + 4) = 0 Reorder the terms: -5x(4 + 4x + -8y) = 0 (4 * -5x + 4x * -5x + -8y * -5x) = 0 Reorder the terms: (-20x + 40xy + -20x2) = 0 (-20x + 40xy + -20x2) = 0 Solving -20x + 40xy + -20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '20x'. 20x(-1 + 2y + -1x) = 0 Ignore the factor 20.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 = 0Subproblem 2
Set the factor '(-1 + 2y + -1x)' equal to zero and attempt to solve: Simplifying -1 + 2y + -1x = 0 Reorder the terms: -1 + -1x + 2y = 0 Solving -1 + -1x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1x + 1 + 2y = 0 + 1 Reorder the terms: -1 + 1 + -1x + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + 2y = 0 + 1 -1x + 2y = 0 + 1 Combine like terms: 0 + 1 = 1 -1x + 2y = 1 Add '-2y' to each side of the equation. -1x + 2y + -2y = 1 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 1 + -2y -1x = 1 + -2y Divide each side by '-1'. x = -1 + 2y Simplifying x = -1 + 2ySolution
x = {0, -1 + 2y}
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