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Simplifying x2 + -9x = x + 24 Reorder the terms: -9x + x2 = x + 24 Reorder the terms: -9x + x2 = 24 + x Solving -9x + x2 = 24 + x Solving for variable 'x'. Reorder the terms: -24 + -9x + -1x + x2 = 24 + x + -24 + -1x Combine like terms: -9x + -1x = -10x -24 + -10x + x2 = 24 + x + -24 + -1x Reorder the terms: -24 + -10x + x2 = 24 + -24 + x + -1x Combine like terms: 24 + -24 = 0 -24 + -10x + x2 = 0 + x + -1x -24 + -10x + x2 = x + -1x Combine like terms: x + -1x = 0 -24 + -10x + 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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