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Simplifying X(2x + 8)(x + -4) = 0 Reorder the terms: X(8 + 2x)(x + -4) = 0 Reorder the terms: X(8 + 2x)(-4 + x) = 0 Multiply (8 + 2x) * (-4 + x) X(8(-4 + x) + 2x * (-4 + x)) = 0 X((-4 * 8 + x * 8) + 2x * (-4 + x)) = 0 X((-32 + 8x) + 2x * (-4 + x)) = 0 X(-32 + 8x + (-4 * 2x + x * 2x)) = 0 X(-32 + 8x + (-8x + 2x2)) = 0 Combine like terms: 8x + -8x = 0 X(-32 + 0 + 2x2) = 0 X(-32 + 2x2) = 0 (-32 * X + 2x2 * X) = 0 (-32X + 2x2X) = 0 Solving -32X + 2x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2X'. 2X(-16 + x2) = 0 Factor a difference between two squares. 2X((4 + x)(-4 + x)) = 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 + 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 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
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 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
X = {0}
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