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Simplifying (x * 2)(x + -1)(x + -4) = 0 Reorder the terms for easier multiplication: (2x)(x + -1)(x + -4) = 0 Remove parenthesis around (2x) 2x(x + -1)(x + -4) = 0 Reorder the terms: 2x(-1 + x)(x + -4) = 0 Reorder the terms: 2x(-1 + x)(-4 + x) = 0 Multiply (-1 + x) * (-4 + x) 2x(-1(-4 + x) + x(-4 + x)) = 0 2x((-4 * -1 + x * -1) + x(-4 + x)) = 0 2x((4 + -1x) + x(-4 + x)) = 0 2x(4 + -1x + (-4 * x + x * x)) = 0 2x(4 + -1x + (-4x + x2)) = 0 Combine like terms: -1x + -4x = -5x 2x(4 + -5x + x2) = 0 (4 * 2x + -5x * 2x + x2 * 2x) = 0 (8x + -10x2 + 2x3) = 0 Solving 8x + -10x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + -5x + x2) = 0 Factor a trinomial. 2x((1 + -1x)(4 + -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 '(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 = 1Subproblem 3
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 = 4Solution
x = {0, 1, 4}
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