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Simplifying x(23 + -1x) = 90 (23 * x + -1x * x) = 90 (23x + -1x2) = 90 Solving 23x + -1x2 = 90 Solving for variable 'x'. Reorder the terms: -90 + 23x + -1x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 23x + -1x2 = 0 Factor a trinomial. (-18 + x)(5 + -1x) = 0Subproblem 1
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 = 18Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {18, 5}
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