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Simplifying (x + -4)(4x + 8) = 0 Reorder the terms: (-4 + x)(4x + 8) = 0 Reorder the terms: (-4 + x)(8 + 4x) = 0 Multiply (-4 + x) * (8 + 4x) (-4(8 + 4x) + x(8 + 4x)) = 0 ((8 * -4 + 4x * -4) + x(8 + 4x)) = 0 ((-32 + -16x) + x(8 + 4x)) = 0 (-32 + -16x + (8 * x + 4x * x)) = 0 (-32 + -16x + (8x + 4x2)) = 0 Combine like terms: -16x + 8x = -8x (-32 + -8x + 4x2) = 0 Solving -32 + -8x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-8 + -2x + x2) = 0 Factor a trinomial. 4((-2 + -1x)(4 + -1x)) = 0 Ignore the factor 4.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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