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Simplifying (4x + 8)(2x + -6) = 0 Reorder the terms: (8 + 4x)(2x + -6) = 0 Reorder the terms: (8 + 4x)(-6 + 2x) = 0 Multiply (8 + 4x) * (-6 + 2x) (8(-6 + 2x) + 4x * (-6 + 2x)) = 0 ((-6 * 8 + 2x * 8) + 4x * (-6 + 2x)) = 0 ((-48 + 16x) + 4x * (-6 + 2x)) = 0 (-48 + 16x + (-6 * 4x + 2x * 4x)) = 0 (-48 + 16x + (-24x + 8x2)) = 0 Combine like terms: 16x + -24x = -8x (-48 + -8x + 8x2) = 0 Solving -48 + -8x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-6 + -1x + x2) = 0 Factor a trinomial. 8((-2 + -1x)(3 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-2, 3}
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