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Simplifying 2x((x + 4)(x + -1)) = 0 Reorder the terms: 2x((4 + x)(x + -1)) = 0 Reorder the terms: 2x((4 + x)(-1 + x)) = 0 Multiply (4 + x) * (-1 + x) 2x((4(-1 + x) + x(-1 + x))) = 0 2x(((-1 * 4 + x * 4) + x(-1 + x))) = 0 2x(((-4 + 4x) + x(-1 + x))) = 0 2x((-4 + 4x + (-1 * x + x * x))) = 0 2x((-4 + 4x + (-1x + x2))) = 0 Combine like terms: 4x + -1x = 3x 2x((-4 + 3x + x2)) = 0 (-4 * 2x + 3x * 2x + x2 * 2x) = 0 (-8x + 6x2 + 2x3) = 0 Solving -8x + 6x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + 3x + x2) = 0 Factor a trinomial. 2x((-4 + -1x)(1 + -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 '(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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