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Simplifying 3(x + -4)(x + 8) = 0 Reorder the terms: 3(-4 + x)(x + 8) = 0 Reorder the terms: 3(-4 + x)(8 + x) = 0 Multiply (-4 + x) * (8 + x) 3(-4(8 + x) + x(8 + x)) = 0 3((8 * -4 + x * -4) + x(8 + x)) = 0 3((-32 + -4x) + x(8 + x)) = 0 3(-32 + -4x + (8 * x + x * x)) = 0 3(-32 + -4x + (8x + x2)) = 0 Combine like terms: -4x + 8x = 4x 3(-32 + 4x + x2) = 0 (-32 * 3 + 4x * 3 + x2 * 3) = 0 (-96 + 12x + 3x2) = 0 Solving -96 + 12x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-32 + 4x + x2) = 0 Factor a trinomial. 3((-8 + -1x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = -8Subproblem 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 = {-8, 4}
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