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Simplifying 252 = 32x + -1x2 Solving 252 = 32x + -1x2 Solving for variable 'x'. Reorder the terms: 252 + -32x + x2 = 32x + -32x + -1x2 + x2 Combine like terms: 32x + -32x = 0 252 + -32x + x2 = 0 + -1x2 + x2 252 + -32x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 252 + -32x + x2 = 0 Factor a trinomial. (14 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 2
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 = 18Solution
x = {14, 18}
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