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Simplifying (8x + 4)(8x + 4) = 0 Reorder the terms: (4 + 8x)(8x + 4) = 0 Reorder the terms: (4 + 8x)(4 + 8x) = 0 Multiply (4 + 8x) * (4 + 8x) (4(4 + 8x) + 8x * (4 + 8x)) = 0 ((4 * 4 + 8x * 4) + 8x * (4 + 8x)) = 0 ((16 + 32x) + 8x * (4 + 8x)) = 0 (16 + 32x + (4 * 8x + 8x * 8x)) = 0 (16 + 32x + (32x + 64x2)) = 0 Combine like terms: 32x + 32x = 64x (16 + 64x + 64x2) = 0 Solving 16 + 64x + 64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(1 + 4x + 4x2) = 0 Factor a trinomial. 16((1 + 2x)(1 + 2x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-0.5, -0.5}
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