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Simplifying (x + -5) * x = 234 Reorder the terms: (-5 + x) * x = 234 Reorder the terms for easier multiplication: x(-5 + x) = 234 (-5 * x + x * x) = 234 (-5x + x2) = 234 Solving -5x + x2 = 234 Solving for variable 'x'. Reorder the terms: -234 + -5x + x2 = 234 + -234 Combine like terms: 234 + -234 = 0 -234 + -5x + x2 = 0 Factor a trinomial. (-13 + -1x)(18 + -1x) = 0Subproblem 1
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 = -13Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-13, 18}
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