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Simplifying X(x + 2)(2x + -12) = 0 Reorder the terms: X(2 + x)(2x + -12) = 0 Reorder the terms: X(2 + x)(-12 + 2x) = 0 Multiply (2 + x) * (-12 + 2x) X(2(-12 + 2x) + x(-12 + 2x)) = 0 X((-12 * 2 + 2x * 2) + x(-12 + 2x)) = 0 X((-24 + 4x) + x(-12 + 2x)) = 0 X(-24 + 4x + (-12 * x + 2x * x)) = 0 X(-24 + 4x + (-12x + 2x2)) = 0 Combine like terms: 4x + -12x = -8x X(-24 + -8x + 2x2) = 0 (-24 * X + -8x * X + 2x2 * X) = 0 (-24X + -8xX + 2x2X) = 0 Solving -24X + -8xX + 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(-12 + -4x + x2) = 0 Factor a trinomial. 2X((-2 + -1x)(6 + -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 '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Add 'x' to each side of the equation. -1x + x = 2 + x Combine like terms: -1x + x = 0 0 = 2 + x Simplifying 0 = 2 + x 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Add 'x' to each side of the equation. -1x + x = -6 + x Combine like terms: -1x + x = 0 0 = -6 + x Simplifying 0 = -6 + x 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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