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Simplifying (8x + 1)(8x + 1) = 0 Reorder the terms: (1 + 8x)(8x + 1) = 0 Reorder the terms: (1 + 8x)(1 + 8x) = 0 Multiply (1 + 8x) * (1 + 8x) (1(1 + 8x) + 8x * (1 + 8x)) = 0 ((1 * 1 + 8x * 1) + 8x * (1 + 8x)) = 0 ((1 + 8x) + 8x * (1 + 8x)) = 0 (1 + 8x + (1 * 8x + 8x * 8x)) = 0 (1 + 8x + (8x + 64x2)) = 0 Combine like terms: 8x + 8x = 16x (1 + 16x + 64x2) = 0 Solving 1 + 16x + 64x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + 8x)(1 + 8x) = 0Subproblem 1
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Solution
x = {-0.125, -0.125}
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