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Simplifying (8x + 1)(x + 2) = 0 Reorder the terms: (1 + 8x)(x + 2) = 0 Reorder the terms: (1 + 8x)(2 + x) = 0 Multiply (1 + 8x) * (2 + x) (1(2 + x) + 8x * (2 + x)) = 0 ((2 * 1 + x * 1) + 8x * (2 + x)) = 0 ((2 + 1x) + 8x * (2 + x)) = 0 (2 + 1x + (2 * 8x + x * 8x)) = 0 (2 + 1x + (16x + 8x2)) = 0 Combine like terms: 1x + 16x = 17x (2 + 17x + 8x2) = 0 Solving 2 + 17x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(1 + 8x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -0.125}
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