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Simplifying (X + -4)(3x + -6) = 0 Reorder the terms: (-4 + X)(3x + -6) = 0 Reorder the terms: (-4 + X)(-6 + 3x) = 0 Multiply (-4 + X) * (-6 + 3x) (-4(-6 + 3x) + X(-6 + 3x)) = 0 ((-6 * -4 + 3x * -4) + X(-6 + 3x)) = 0 ((24 + -12x) + X(-6 + 3x)) = 0 (24 + -12x + (-6 * X + 3x * X)) = 0 (24 + -12x + (-6X + 3xX)) = 0 Reorder the terms: (24 + -6X + -12x + 3xX) = 0 (24 + -6X + -12x + 3xX) = 0 Solving 24 + -6X + -12x + 3xX = 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 + -6X + -12x + -24 + 3xX = 0 + -24 Reorder the terms: 24 + -24 + -6X + -12x + 3xX = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6X + -12x + 3xX = 0 + -24 -6X + -12x + 3xX = 0 + -24 Combine like terms: 0 + -24 = -24 -6X + -12x + 3xX = -24 Add '12x' to each side of the equation. -6X + -12x + 12x + 3xX = -24 + 12x Combine like terms: -12x + 12x = 0 -6X + 0 + 3xX = -24 + 12x -6X + 3xX = -24 + 12x Reorder the terms: 24 + -6X + -12x + 3xX = -24 + 12x + 24 + -12x Reorder the terms: 24 + -6X + -12x + 3xX = -24 + 24 + 12x + -12x Combine like terms: -24 + 24 = 0 24 + -6X + -12x + 3xX = 0 + 12x + -12x 24 + -6X + -12x + 3xX = 12x + -12x Combine like terms: 12x + -12x = 0 24 + -6X + -12x + 3xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + -2X + -4x + xX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + -2X + -4x + xX)' equal to zero and attempt to solve: Simplifying 8 + -2X + -4x + xX = 0 Solving 8 + -2X + -4x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2X + -4x + -8 + xX = 0 + -8 Reorder the terms: 8 + -8 + -2X + -4x + xX = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2X + -4x + xX = 0 + -8 -2X + -4x + xX = 0 + -8 Combine like terms: 0 + -8 = -8 -2X + -4x + xX = -8 Add '4x' to each side of the equation. -2X + -4x + 4x + xX = -8 + 4x Combine like terms: -4x + 4x = 0 -2X + 0 + xX = -8 + 4x -2X + xX = -8 + 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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