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Simplifying -40(x + -1)(2x)(x + -4) = 0 Reorder the terms: -40(-1 + x)(2x)(x + -4) = 0 Remove parenthesis around (2x) -40(-1 + x) * 2x(x + -4) = 0 Reorder the terms: -40(-1 + x) * 2x(-4 + x) = 0 Reorder the terms for easier multiplication: -40 * 2x(-1 + x)(-4 + x) = 0 Multiply -40 * 2 -80x(-1 + x)(-4 + x) = 0 Multiply (-1 + x) * (-4 + x) -80x(-1(-4 + x) + x(-4 + x)) = 0 -80x((-4 * -1 + x * -1) + x(-4 + x)) = 0 -80x((4 + -1x) + x(-4 + x)) = 0 -80x(4 + -1x + (-4 * x + x * x)) = 0 -80x(4 + -1x + (-4x + x2)) = 0 Combine like terms: -1x + -4x = -5x -80x(4 + -5x + x2) = 0 (4 * -80x + -5x * -80x + x2 * -80x) = 0 (-320x + 400x2 + -80x3) = 0 Solving -320x + 400x2 + -80x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '80x'. 80x(-4 + 5x + -1x2) = 0 Factor a trinomial. 80x((-4 + x)(1 + -1x)) = 0 Ignore the factor 80.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 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 4, 1}
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