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Simplifying x2 = 288 + -2x Solving x2 = 288 + -2x Solving for variable 'x'. Reorder the terms: -288 + 2x + x2 = 288 + -2x + -288 + 2x Reorder the terms: -288 + 2x + x2 = 288 + -288 + -2x + 2x Combine like terms: 288 + -288 = 0 -288 + 2x + x2 = 0 + -2x + 2x -288 + 2x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -288 + 2x + x2 = 0 Factor a trinomial. (-18 + -1x)(16 + -1x) = 0Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 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 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-18, 16}
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