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Simplifying 2x(x + -4)(x + -5) = 0 Reorder the terms: 2x(-4 + x)(x + -5) = 0 Reorder the terms: 2x(-4 + x)(-5 + x) = 0 Multiply (-4 + x) * (-5 + x) 2x(-4(-5 + x) + x(-5 + x)) = 0 2x((-5 * -4 + x * -4) + x(-5 + x)) = 0 2x((20 + -4x) + x(-5 + x)) = 0 2x(20 + -4x + (-5 * x + x * x)) = 0 2x(20 + -4x + (-5x + x2)) = 0 Combine like terms: -4x + -5x = -9x 2x(20 + -9x + x2) = 0 (20 * 2x + -9x * 2x + x2 * 2x) = 0 (40x + -18x2 + 2x3) = 0 Solving 40x + -18x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(20 + -9x + x2) = 0 Factor a trinomial. 2x((4 + -1x)(5 + -1x)) = 0 Ignore the factor 2.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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, 4, 5}
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