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Simplifying 234 = x(x + 5) Reorder the terms: 234 = x(5 + x) 234 = (5 * x + x * x) 234 = (5x + x2) Solving 234 = 5x + x2 Solving for variable 'x'. Reorder the terms: 234 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 234 + -5x + -1x2 = 0 + x2 + -1x2 234 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 234 + -5x + -1x2 = 0 Factor a trinomial. (13 + -1x)(18 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 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 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {13, -18}
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