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Simplifying x2 + 2x = -5x + 18 Reorder the terms: 2x + x2 = -5x + 18 Reorder the terms: 2x + x2 = 18 + -5x Solving 2x + x2 = 18 + -5x Solving for variable 'x'. Reorder the terms: -18 + 2x + 5x + x2 = 18 + -5x + -18 + 5x Combine like terms: 2x + 5x = 7x -18 + 7x + x2 = 18 + -5x + -18 + 5x Reorder the terms: -18 + 7x + x2 = 18 + -18 + -5x + 5x Combine like terms: 18 + -18 = 0 -18 + 7x + x2 = 0 + -5x + 5x -18 + 7x + x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 7x + x2 = 0 Factor a trinomial. (-9 + -1x)(2 + -1x) = 0Subproblem 1
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 = -9Subproblem 2
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 = 2Solution
x = {-9, 2}
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