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Simplifying (x + -4)(3x + 6) = 0 Reorder the terms: (-4 + x)(3x + 6) = 0 Reorder the terms: (-4 + x)(6 + 3x) = 0 Multiply (-4 + x) * (6 + 3x) (-4(6 + 3x) + x(6 + 3x)) = 0 ((6 * -4 + 3x * -4) + x(6 + 3x)) = 0 ((-24 + -12x) + x(6 + 3x)) = 0 (-24 + -12x + (6 * x + 3x * x)) = 0 (-24 + -12x + (6x + 3x2)) = 0 Combine like terms: -12x + 6x = -6x (-24 + -6x + 3x2) = 0 Solving -24 + -6x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -2x + x2) = 0 Factor a trinomial. 3((-2 + -1x)(4 + -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 '(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 = {-2, 4}
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