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Simplifying (X + 4)(3x + -12) = 0 Reorder the terms: (4 + X)(3x + -12) = 0 Reorder the terms: (4 + X)(-12 + 3x) = 0 Multiply (4 + X) * (-12 + 3x) (4(-12 + 3x) + X(-12 + 3x)) = 0 ((-12 * 4 + 3x * 4) + X(-12 + 3x)) = 0 ((-48 + 12x) + X(-12 + 3x)) = 0 (-48 + 12x + (-12 * X + 3x * X)) = 0 (-48 + 12x + (-12X + 3xX)) = 0 Reorder the terms: (-48 + -12X + 12x + 3xX) = 0 (-48 + -12X + 12x + 3xX) = 0 Solving -48 + -12X + 12x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '48' to each side of the equation. -48 + -12X + 12x + 48 + 3xX = 0 + 48 Reorder the terms: -48 + 48 + -12X + 12x + 3xX = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -12X + 12x + 3xX = 0 + 48 -12X + 12x + 3xX = 0 + 48 Combine like terms: 0 + 48 = 48 -12X + 12x + 3xX = 48 Add '-12x' to each side of the equation. -12X + 12x + -12x + 3xX = 48 + -12x Combine like terms: 12x + -12x = 0 -12X + 0 + 3xX = 48 + -12x -12X + 3xX = 48 + -12x Reorder the terms: -48 + -12X + 12x + 3xX = 48 + -12x + -48 + 12x Reorder the terms: -48 + -12X + 12x + 3xX = 48 + -48 + -12x + 12x Combine like terms: 48 + -48 = 0 -48 + -12X + 12x + 3xX = 0 + -12x + 12x -48 + -12X + 12x + 3xX = -12x + 12x Combine like terms: -12x + 12x = 0 -48 + -12X + 12x + 3xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + -4X + 4x + xX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-16 + -4X + 4x + xX)' equal to zero and attempt to solve: Simplifying -16 + -4X + 4x + xX = 0 Solving -16 + -4X + 4x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -4X + 4x + 16 + xX = 0 + 16 Reorder the terms: -16 + 16 + -4X + 4x + xX = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4X + 4x + xX = 0 + 16 -4X + 4x + xX = 0 + 16 Combine like terms: 0 + 16 = 16 -4X + 4x + xX = 16 Add '-4x' to each side of the equation. -4X + 4x + -4x + xX = 16 + -4x Combine like terms: 4x + -4x = 0 -4X + 0 + xX = 16 + -4x -4X + xX = 16 + -4x 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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