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Simplifying (-4x + -1)(8x + -1) = 0 Reorder the terms: (-1 + -4x)(8x + -1) = 0 Reorder the terms: (-1 + -4x)(-1 + 8x) = 0 Multiply (-1 + -4x) * (-1 + 8x) (-1(-1 + 8x) + -4x * (-1 + 8x)) = 0 ((-1 * -1 + 8x * -1) + -4x * (-1 + 8x)) = 0 ((1 + -8x) + -4x * (-1 + 8x)) = 0 (1 + -8x + (-1 * -4x + 8x * -4x)) = 0 (1 + -8x + (4x + -32x2)) = 0 Combine like terms: -8x + 4x = -4x (1 + -4x + -32x2) = 0 Solving 1 + -4x + -32x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -8x)(1 + 4x) = 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 + 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 = {0.125, -0.25}
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