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Simplifying x + 25 = x2 + -107 Reorder the terms: 25 + x = x2 + -107 Reorder the terms: 25 + x = -107 + x2 Solving 25 + x = -107 + x2 Solving for variable 'x'. Reorder the terms: 25 + 107 + x + -1x2 = -107 + x2 + 107 + -1x2 Combine like terms: 25 + 107 = 132 132 + x + -1x2 = -107 + x2 + 107 + -1x2 Reorder the terms: 132 + x + -1x2 = -107 + 107 + x2 + -1x2 Combine like terms: -107 + 107 = 0 132 + x + -1x2 = 0 + x2 + -1x2 132 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 132 + x + -1x2 = 0 Factor a trinomial. (12 + -1x)(11 + x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {12, -11}
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