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Simplifying (2x + -1)(x + 8) = 0 Reorder the terms: (-1 + 2x)(x + 8) = 0 Reorder the terms: (-1 + 2x)(8 + x) = 0 Multiply (-1 + 2x) * (8 + x) (-1(8 + x) + 2x * (8 + x)) = 0 ((8 * -1 + x * -1) + 2x * (8 + x)) = 0 ((-8 + -1x) + 2x * (8 + x)) = 0 (-8 + -1x + (8 * 2x + x * 2x)) = 0 (-8 + -1x + (16x + 2x2)) = 0 Combine like terms: -1x + 16x = 15x (-8 + 15x + 2x2) = 0 Solving -8 + 15x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(1 + -2x) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-8, 0.5}
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