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Simplifying 24 = (14 + -1x) * x Reorder the terms for easier multiplication: 24 = x(14 + -1x) 24 = (14 * x + -1x * x) 24 = (14x + -1x2) Solving 24 = 14x + -1x2 Solving for variable 'x'. Reorder the terms: 24 + -14x + x2 = 14x + -14x + -1x2 + x2 Combine like terms: 14x + -14x = 0 24 + -14x + x2 = 0 + -1x2 + x2 24 + -14x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 24 + -14x + x2 = 0 Factor a trinomial. (2 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {2, 12}
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