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Simplifying (x)(24 + -1x) = 135 (24 * x + -1x * x) = 135 (24x + -1x2) = 135 Solving 24x + -1x2 = 135 Solving for variable 'x'. Reorder the terms: -135 + 24x + -1x2 = 135 + -135 Combine like terms: 135 + -135 = 0 -135 + 24x + -1x2 = 0 Factor a trinomial. (-15 + x)(9 + -1x) = 0Subproblem 1
Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {15, 9}
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