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Simplifying 8x = -1(16x2 + 1) Reorder the terms: 8x = -1(1 + 16x2) 8x = (1 * -1 + 16x2 * -1) 8x = (-1 + -16x2) Solving 8x = -1 + -16x2 Solving for variable 'x'. Reorder the terms: 1 + 8x + 16x2 = -1 + -16x2 + 1 + 16x2 Reorder the terms: 1 + 8x + 16x2 = -1 + 1 + -16x2 + 16x2 Combine like terms: -1 + 1 = 0 1 + 8x + 16x2 = 0 + -16x2 + 16x2 1 + 8x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 1 + 8x + 16x2 = 0 Factor a trinomial. (1 + 4x)(1 + 4x) = 0Subproblem 1
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {-0.25, -0.25}
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