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Simplifying (X + -4)(2x + -12) = 0 Reorder the terms: (-4 + X)(2x + -12) = 0 Reorder the terms: (-4 + X)(-12 + 2x) = 0 Multiply (-4 + X) * (-12 + 2x) (-4(-12 + 2x) + X(-12 + 2x)) = 0 ((-12 * -4 + 2x * -4) + X(-12 + 2x)) = 0 ((48 + -8x) + X(-12 + 2x)) = 0 (48 + -8x + (-12 * X + 2x * X)) = 0 (48 + -8x + (-12X + 2xX)) = 0 Reorder the terms: (48 + -12X + -8x + 2xX) = 0 (48 + -12X + -8x + 2xX) = 0 Solving 48 + -12X + -8x + 2xX = 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 + -8x + -48 + 2xX = 0 + -48 Reorder the terms: 48 + -48 + -12X + -8x + 2xX = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -12X + -8x + 2xX = 0 + -48 -12X + -8x + 2xX = 0 + -48 Combine like terms: 0 + -48 = -48 -12X + -8x + 2xX = -48 Add '8x' to each side of the equation. -12X + -8x + 8x + 2xX = -48 + 8x Combine like terms: -8x + 8x = 0 -12X + 0 + 2xX = -48 + 8x -12X + 2xX = -48 + 8x Reorder the terms: 48 + -12X + -8x + 2xX = -48 + 8x + 48 + -8x Reorder the terms: 48 + -12X + -8x + 2xX = -48 + 48 + 8x + -8x Combine like terms: -48 + 48 = 0 48 + -12X + -8x + 2xX = 0 + 8x + -8x 48 + -12X + -8x + 2xX = 8x + -8x Combine like terms: 8x + -8x = 0 48 + -12X + -8x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -6X + -4x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(24 + -6X + -4x + xX)' equal to zero and attempt to solve: Simplifying 24 + -6X + -4x + xX = 0 Solving 24 + -6X + -4x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -6X + -4x + -24 + xX = 0 + -24 Reorder the terms: 24 + -24 + -6X + -4x + xX = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6X + -4x + xX = 0 + -24 -6X + -4x + xX = 0 + -24 Combine like terms: 0 + -24 = -24 -6X + -4x + xX = -24 Add '4x' to each side of the equation. -6X + -4x + 4x + xX = -24 + 4x Combine like terms: -4x + 4x = 0 -6X + 0 + xX = -24 + 4x -6X + xX = -24 + 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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