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Simplifying (X + -2)(3x + -6) = 0 Reorder the terms: (-2 + X)(3x + -6) = 0 Reorder the terms: (-2 + X)(-6 + 3x) = 0 Multiply (-2 + X) * (-6 + 3x) (-2(-6 + 3x) + X(-6 + 3x)) = 0 ((-6 * -2 + 3x * -2) + X(-6 + 3x)) = 0 ((12 + -6x) + X(-6 + 3x)) = 0 (12 + -6x + (-6 * X + 3x * X)) = 0 (12 + -6x + (-6X + 3xX)) = 0 Reorder the terms: (12 + -6X + -6x + 3xX) = 0 (12 + -6X + -6x + 3xX) = 0 Solving 12 + -6X + -6x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -6X + -6x + -12 + 3xX = 0 + -12 Reorder the terms: 12 + -12 + -6X + -6x + 3xX = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6X + -6x + 3xX = 0 + -12 -6X + -6x + 3xX = 0 + -12 Combine like terms: 0 + -12 = -12 -6X + -6x + 3xX = -12 Add '6x' to each side of the equation. -6X + -6x + 6x + 3xX = -12 + 6x Combine like terms: -6x + 6x = 0 -6X + 0 + 3xX = -12 + 6x -6X + 3xX = -12 + 6x Reorder the terms: 12 + -6X + -6x + 3xX = -12 + 6x + 12 + -6x Reorder the terms: 12 + -6X + -6x + 3xX = -12 + 12 + 6x + -6x Combine like terms: -12 + 12 = 0 12 + -6X + -6x + 3xX = 0 + 6x + -6x 12 + -6X + -6x + 3xX = 6x + -6x Combine like terms: 6x + -6x = 0 12 + -6X + -6x + 3xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + -2X + -2x + xX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -2X + -2x + xX)' equal to zero and attempt to solve: Simplifying 4 + -2X + -2x + xX = 0 Solving 4 + -2X + -2x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2X + -2x + -4 + xX = 0 + -4 Reorder the terms: 4 + -4 + -2X + -2x + xX = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2X + -2x + xX = 0 + -4 -2X + -2x + xX = 0 + -4 Combine like terms: 0 + -4 = -4 -2X + -2x + xX = -4 Add '2x' to each side of the equation. -2X + -2x + 2x + xX = -4 + 2x Combine like terms: -2x + 2x = 0 -2X + 0 + xX = -4 + 2x -2X + xX = -4 + 2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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