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Simplifying (X + -6)(2x + -4) = 0 Reorder the terms: (-6 + X)(2x + -4) = 0 Reorder the terms: (-6 + X)(-4 + 2x) = 0 Multiply (-6 + X) * (-4 + 2x) (-6(-4 + 2x) + X(-4 + 2x)) = 0 ((-4 * -6 + 2x * -6) + X(-4 + 2x)) = 0 ((24 + -12x) + X(-4 + 2x)) = 0 (24 + -12x + (-4 * X + 2x * X)) = 0 (24 + -12x + (-4X + 2xX)) = 0 Reorder the terms: (24 + -4X + -12x + 2xX) = 0 (24 + -4X + -12x + 2xX) = 0 Solving 24 + -4X + -12x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -4X + -12x + -24 + 2xX = 0 + -24 Reorder the terms: 24 + -24 + -4X + -12x + 2xX = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4X + -12x + 2xX = 0 + -24 -4X + -12x + 2xX = 0 + -24 Combine like terms: 0 + -24 = -24 -4X + -12x + 2xX = -24 Add '12x' to each side of the equation. -4X + -12x + 12x + 2xX = -24 + 12x Combine like terms: -12x + 12x = 0 -4X + 0 + 2xX = -24 + 12x -4X + 2xX = -24 + 12x Reorder the terms: 24 + -4X + -12x + 2xX = -24 + 12x + 24 + -12x Reorder the terms: 24 + -4X + -12x + 2xX = -24 + 24 + 12x + -12x Combine like terms: -24 + 24 = 0 24 + -4X + -12x + 2xX = 0 + 12x + -12x 24 + -4X + -12x + 2xX = 12x + -12x Combine like terms: 12x + -12x = 0 24 + -4X + -12x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -2X + -6x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -2X + -6x + xX)' equal to zero and attempt to solve: Simplifying 12 + -2X + -6x + xX = 0 Solving 12 + -2X + -6x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -2X + -6x + -12 + xX = 0 + -12 Reorder the terms: 12 + -12 + -2X + -6x + xX = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2X + -6x + xX = 0 + -12 -2X + -6x + xX = 0 + -12 Combine like terms: 0 + -12 = -12 -2X + -6x + xX = -12 Add '6x' to each side of the equation. -2X + -6x + 6x + xX = -12 + 6x Combine like terms: -6x + 6x = 0 -2X + 0 + xX = -12 + 6x -2X + xX = -12 + 6x 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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