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Simplifying (x + -8)(3x + 6) = 0 Reorder the terms: (-8 + x)(3x + 6) = 0 Reorder the terms: (-8 + x)(6 + 3x) = 0 Multiply (-8 + x) * (6 + 3x) (-8(6 + 3x) + x(6 + 3x)) = 0 ((6 * -8 + 3x * -8) + x(6 + 3x)) = 0 ((-48 + -24x) + x(6 + 3x)) = 0 (-48 + -24x + (6 * x + 3x * x)) = 0 (-48 + -24x + (6x + 3x2)) = 0 Combine like terms: -24x + 6x = -18x (-48 + -18x + 3x2) = 0 Solving -48 + -18x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + -6x + x2) = 0 Factor a trinomial. 3((-2 + -1x)(8 + -1x)) = 0 Ignore the factor 3.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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-2, 8}
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