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Simplifying (4X + -12)(2x + 8) = 0 Reorder the terms: (-12 + 4X)(2x + 8) = 0 Reorder the terms: (-12 + 4X)(8 + 2x) = 0 Multiply (-12 + 4X) * (8 + 2x) (-12(8 + 2x) + 4X * (8 + 2x)) = 0 ((8 * -12 + 2x * -12) + 4X * (8 + 2x)) = 0 ((-96 + -24x) + 4X * (8 + 2x)) = 0 (-96 + -24x + (8 * 4X + 2x * 4X)) = 0 (-96 + -24x + (32X + 8xX)) = 0 Reorder the terms: (-96 + 32X + -24x + 8xX) = 0 (-96 + 32X + -24x + 8xX) = 0 Solving -96 + 32X + -24x + 8xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 32X + -24x + 96 + 8xX = 0 + 96 Reorder the terms: -96 + 96 + 32X + -24x + 8xX = 0 + 96 Combine like terms: -96 + 96 = 0 0 + 32X + -24x + 8xX = 0 + 96 32X + -24x + 8xX = 0 + 96 Combine like terms: 0 + 96 = 96 32X + -24x + 8xX = 96 Add '24x' to each side of the equation. 32X + -24x + 24x + 8xX = 96 + 24x Combine like terms: -24x + 24x = 0 32X + 0 + 8xX = 96 + 24x 32X + 8xX = 96 + 24x Reorder the terms: -96 + 32X + -24x + 8xX = 96 + 24x + -96 + -24x Reorder the terms: -96 + 32X + -24x + 8xX = 96 + -96 + 24x + -24x Combine like terms: 96 + -96 = 0 -96 + 32X + -24x + 8xX = 0 + 24x + -24x -96 + 32X + -24x + 8xX = 24x + -24x Combine like terms: 24x + -24x = 0 -96 + 32X + -24x + 8xX = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-12 + 4X + -3x + xX) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-12 + 4X + -3x + xX)' equal to zero and attempt to solve: Simplifying -12 + 4X + -3x + xX = 0 Solving -12 + 4X + -3x + 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 + 4X + -3x + 12 + xX = 0 + 12 Reorder the terms: -12 + 12 + 4X + -3x + xX = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4X + -3x + xX = 0 + 12 4X + -3x + xX = 0 + 12 Combine like terms: 0 + 12 = 12 4X + -3x + xX = 12 Add '3x' to each side of the equation. 4X + -3x + 3x + xX = 12 + 3x Combine like terms: -3x + 3x = 0 4X + 0 + xX = 12 + 3x 4X + xX = 12 + 3x 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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