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Simplifying x2 + 44x = -459 Reorder the terms: 44x + x2 = -459 Solving 44x + x2 = -459 Solving for variable 'x'. Reorder the terms: 459 + 44x + x2 = -459 + 459 Combine like terms: -459 + 459 = 0 459 + 44x + x2 = 0 Factor a trinomial. (27 + x)(17 + x) = 0Subproblem 1
Set the factor '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Simplifying x = -27Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {-27, -17}
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