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Simplifying X(2x + -3)(x + 2) = 0 Reorder the terms: X(-3 + 2x)(x + 2) = 0 Reorder the terms: X(-3 + 2x)(2 + x) = 0 Multiply (-3 + 2x) * (2 + x) X(-3(2 + x) + 2x * (2 + x)) = 0 X((2 * -3 + x * -3) + 2x * (2 + x)) = 0 X((-6 + -3x) + 2x * (2 + x)) = 0 X(-6 + -3x + (2 * 2x + x * 2x)) = 0 X(-6 + -3x + (4x + 2x2)) = 0 Combine like terms: -3x + 4x = 1x X(-6 + 1x + 2x2) = 0 (-6 * X + 1x * X + 2x2 * X) = 0 (-6X + 1xX + 2x2X) = 0 Solving -6X + 1xX + 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), 'X'. X(-6 + x + 2x2) = 0 Factor a trinomial. X((-2 + -1x)(3 + -2x)) = 0Subproblem 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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Add '2x' to each side of the equation. -2x + 2x = -3 + 2x Combine like terms: -2x + 2x = 0 0 = -3 + 2x Simplifying 0 = -3 + 2x 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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