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Simplifying x(x + 5)(x + -4) = x3 Reorder the terms: x(5 + x)(x + -4) = x3 Reorder the terms: x(5 + x)(-4 + x) = x3 Multiply (5 + x) * (-4 + x) x(5(-4 + x) + x(-4 + x)) = x3 x((-4 * 5 + x * 5) + x(-4 + x)) = x3 x((-20 + 5x) + x(-4 + x)) = x3 x(-20 + 5x + (-4 * x + x * x)) = x3 x(-20 + 5x + (-4x + x2)) = x3 Combine like terms: 5x + -4x = 1x x(-20 + 1x + x2) = x3 (-20 * x + 1x * x + x2 * x) = x3 (-20x + 1x2 + x3) = x3 Add '-1x3' to each side of the equation. -20x + 1x2 + x3 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -20x + 1x2 + 0 = x3 + -1x3 -20x + 1x2 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -20x + 1x2 = 0 Solving -20x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + x) = 0Subproblem 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Solution
x = {0, 20}
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