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Simplifying (4x + 4)(4x + 4) = 0 Reorder the terms: (4 + 4x)(4x + 4) = 0 Reorder the terms: (4 + 4x)(4 + 4x) = 0 Multiply (4 + 4x) * (4 + 4x) (4(4 + 4x) + 4x * (4 + 4x)) = 0 ((4 * 4 + 4x * 4) + 4x * (4 + 4x)) = 0 ((16 + 16x) + 4x * (4 + 4x)) = 0 (16 + 16x + (4 * 4x + 4x * 4x)) = 0 (16 + 16x + (16x + 16x2)) = 0 Combine like terms: 16x + 16x = 32x (16 + 32x + 16x2) = 0 Solving 16 + 32x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(1 + 2x + x2) = 0 Factor a trinomial. 16((1 + x)(1 + x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1, -1}
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