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Simplifying (8x + -1)(x + -8) = 0 Reorder the terms: (-1 + 8x)(x + -8) = 0 Reorder the terms: (-1 + 8x)(-8 + x) = 0 Multiply (-1 + 8x) * (-8 + x) (-1(-8 + x) + 8x * (-8 + x)) = 0 ((-8 * -1 + x * -1) + 8x * (-8 + x)) = 0 ((8 + -1x) + 8x * (-8 + x)) = 0 (8 + -1x + (-8 * 8x + x * 8x)) = 0 (8 + -1x + (-64x + 8x2)) = 0 Combine like terms: -1x + -64x = -65x (8 + -65x + 8x2) = 0 Solving 8 + -65x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -8x)(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {0.125, 8}
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