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Simplifying X(x + -3)(2x + -1) = 0 Reorder the terms: X(-3 + x)(2x + -1) = 0 Reorder the terms: X(-3 + x)(-1 + 2x) = 0 Multiply (-3 + x) * (-1 + 2x) X(-3(-1 + 2x) + x(-1 + 2x)) = 0 X((-1 * -3 + 2x * -3) + x(-1 + 2x)) = 0 X((3 + -6x) + x(-1 + 2x)) = 0 X(3 + -6x + (-1 * x + 2x * x)) = 0 X(3 + -6x + (-1x + 2x2)) = 0 Combine like terms: -6x + -1x = -7x X(3 + -7x + 2x2) = 0 (3 * X + -7x * X + 2x2 * X) = 0 (3X + -7xX + 2x2X) = 0 Solving 3X + -7xX + 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(3 + -7x + 2x2) = 0 Factor a trinomial. X((1 + -2x)(3 + -1x)) = 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 '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Add '2x' to each side of the equation. -2x + 2x = -1 + 2x Combine like terms: -2x + 2x = 0 0 = -1 + 2x Simplifying 0 = -1 + 2x 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 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + 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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