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Simplifying (8x + 1)(2 + -2x) = 0 Reorder the terms: (1 + 8x)(2 + -2x) = 0 Multiply (1 + 8x) * (2 + -2x) (1(2 + -2x) + 8x * (2 + -2x)) = 0 ((2 * 1 + -2x * 1) + 8x * (2 + -2x)) = 0 ((2 + -2x) + 8x * (2 + -2x)) = 0 (2 + -2x + (2 * 8x + -2x * 8x)) = 0 (2 + -2x + (16x + -16x2)) = 0 Combine like terms: -2x + 16x = 14x (2 + 14x + -16x2) = 0 Solving 2 + 14x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 7x + -8x2) = 0 Factor a trinomial. 2((1 + -1x)(1 + 8x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 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 = {1, -0.125}
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