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Simplifying 0 = -16x2 + 8x + -1 Reorder the terms: 0 = -1 + 8x + -16x2 Solving 0 = -1 + 8x + -16x2 Solving for variable 'x'. Combine like terms: 0 + 1 = 1 1 + -8x + 16x2 = -1 + 8x + -16x2 + 1 + -8x + 16x2 Reorder the terms: 1 + -8x + 16x2 = -1 + 1 + 8x + -8x + -16x2 + 16x2 Combine like terms: -1 + 1 = 0 1 + -8x + 16x2 = 0 + 8x + -8x + -16x2 + 16x2 1 + -8x + 16x2 = 8x + -8x + -16x2 + 16x2 Combine like terms: 8x + -8x = 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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