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Simplifying 2(x + 4)(2x + 8) = 0 Reorder the terms: 2(4 + x)(2x + 8) = 0 Reorder the terms: 2(4 + x)(8 + 2x) = 0 Multiply (4 + x) * (8 + 2x) 2(4(8 + 2x) + x(8 + 2x)) = 0 2((8 * 4 + 2x * 4) + x(8 + 2x)) = 0 2((32 + 8x) + x(8 + 2x)) = 0 2(32 + 8x + (8 * x + 2x * x)) = 0 2(32 + 8x + (8x + 2x2)) = 0 Combine like terms: 8x + 8x = 16x 2(32 + 16x + 2x2) = 0 (32 * 2 + 16x * 2 + 2x2 * 2) = 0 (64 + 32x + 4x2) = 0 Solving 64 + 32x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + 8x + x2) = 0 Factor a trinomial. 4((4 + x)(4 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-4, -4}
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