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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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