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Simplifying 0 = x2 + 4x + -252 Reorder the terms: 0 = -252 + 4x + x2 Solving 0 = -252 + 4x + x2 Solving for variable 'x'. Combine like terms: 0 + 252 = 252 252 + -4x + -1x2 = -252 + 4x + x2 + 252 + -4x + -1x2 Reorder the terms: 252 + -4x + -1x2 = -252 + 252 + 4x + -4x + x2 + -1x2 Combine like terms: -252 + 252 = 0 252 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2 252 + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 252 + -4x + -1x2 = 0 + x2 + -1x2 252 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 252 + -4x + -1x2 = 0 Factor a trinomial. (14 + -1x)(18 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 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 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {14, -18}
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