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Simplifying (2x + 8)(2x + 8) = 0 Reorder the terms: (8 + 2x)(2x + 8) = 0 Reorder the terms: (8 + 2x)(8 + 2x) = 0 Multiply (8 + 2x) * (8 + 2x) (8(8 + 2x) + 2x * (8 + 2x)) = 0 ((8 * 8 + 2x * 8) + 2x * (8 + 2x)) = 0 ((64 + 16x) + 2x * (8 + 2x)) = 0 (64 + 16x + (8 * 2x + 2x * 2x)) = 0 (64 + 16x + (16x + 4x2)) = 0 Combine like terms: 16x + 16x = 32x (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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