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Simplifying (2x + -1)(x + -13) = 0 Reorder the terms: (-1 + 2x)(x + -13) = 0 Reorder the terms: (-1 + 2x)(-13 + x) = 0 Multiply (-1 + 2x) * (-13 + x) (-1(-13 + x) + 2x * (-13 + x)) = 0 ((-13 * -1 + x * -1) + 2x * (-13 + x)) = 0 ((13 + -1x) + 2x * (-13 + x)) = 0 (13 + -1x + (-13 * 2x + x * 2x)) = 0 (13 + -1x + (-26x + 2x2)) = 0 Combine like terms: -1x + -26x = -27x (13 + -27x + 2x2) = 0 Solving 13 + -27x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -2x)(13 + -1x) = 0Subproblem 1
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 = 0.5Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {0.5, 13}
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