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Simplifying 2x(x + -4) = x(4 + -1x) Reorder the terms: 2x(-4 + x) = x(4 + -1x) (-4 * 2x + x * 2x) = x(4 + -1x) (-8x + 2x2) = x(4 + -1x) -8x + 2x2 = (4 * x + -1x * x) -8x + 2x2 = (4x + -1x2) Solving -8x + 2x2 = 4x + -1x2 Solving for variable 'x'. Reorder the terms: -8x + -4x + 2x2 + x2 = 4x + -1x2 + -4x + x2 Combine like terms: -8x + -4x = -12x -12x + 2x2 + x2 = 4x + -1x2 + -4x + x2 Combine like terms: 2x2 + x2 = 3x2 -12x + 3x2 = 4x + -1x2 + -4x + x2 Reorder the terms: -12x + 3x2 = 4x + -4x + -1x2 + x2 Combine like terms: 4x + -4x = 0 -12x + 3x2 = 0 + -1x2 + x2 -12x + 3x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -12x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-4 + x) = 0 Ignore the factor 3.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 = 4Solution
x = {0, 4}
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