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Simplifying X(3x + 6)(x + -4) = 0 Reorder the terms: X(6 + 3x)(x + -4) = 0 Reorder the terms: X(6 + 3x)(-4 + x) = 0 Multiply (6 + 3x) * (-4 + x) X(6(-4 + x) + 3x * (-4 + x)) = 0 X((-4 * 6 + x * 6) + 3x * (-4 + x)) = 0 X((-24 + 6x) + 3x * (-4 + x)) = 0 X(-24 + 6x + (-4 * 3x + x * 3x)) = 0 X(-24 + 6x + (-12x + 3x2)) = 0 Combine like terms: 6x + -12x = -6x X(-24 + -6x + 3x2) = 0 (-24 * X + -6x * X + 3x2 * X) = 0 (-24X + -6xX + 3x2X) = 0 Solving -24X + -6xX + 3x2X = 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), '3X'. 3X(-8 + -2x + x2) = 0 Factor a trinomial. 3X((-2 + -1x)(4 + -1x)) = 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 '(-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 '(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 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + 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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