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Simplifying (2x + 8)(x + -6) = 0 Reorder the terms: (8 + 2x)(x + -6) = 0 Reorder the terms: (8 + 2x)(-6 + x) = 0 Multiply (8 + 2x) * (-6 + x) (8(-6 + x) + 2x * (-6 + x)) = 0 ((-6 * 8 + x * 8) + 2x * (-6 + x)) = 0 ((-48 + 8x) + 2x * (-6 + x)) = 0 (-48 + 8x + (-6 * 2x + x * 2x)) = 0 (-48 + 8x + (-12x + 2x2)) = 0 Combine like terms: 8x + -12x = -4x (-48 + -4x + 2x2) = 0 Solving -48 + -4x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + -2x + x2) = 0 Factor a trinomial. 2((-4 + -1x)(6 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -4Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-4, 6}
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