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Simplifying 1(2x + -8) * 1(6x + -6) = 0 Reorder the terms: 1(-8 + 2x) * 1(6x + -6) = 0 Reorder the terms: 1(-8 + 2x) * 1(-6 + 6x) = 0 Reorder the terms for easier multiplication: 1 * 1(-8 + 2x)(-6 + 6x) = 0 Multiply 1 * 1 1(-8 + 2x)(-6 + 6x) = 0 Multiply (-8 + 2x) * (-6 + 6x) 1(-8(-6 + 6x) + 2x * (-6 + 6x)) = 0 1((-6 * -8 + 6x * -8) + 2x * (-6 + 6x)) = 0 1((48 + -48x) + 2x * (-6 + 6x)) = 0 1(48 + -48x + (-6 * 2x + 6x * 2x)) = 0 1(48 + -48x + (-12x + 12x2)) = 0 Combine like terms: -48x + -12x = -60x 1(48 + -60x + 12x2) = 0 (48 * 1 + -60x * 1 + 12x2 * 1) = 0 (48 + -60x + 12x2) = 0 Solving 48 + -60x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(4 + -5x + x2) = 0 Factor a trinomial. 12((1 + -1x)(4 + -1x)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {1, 4}
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