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