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Simplifying x + (x2 + -10) = 122 Reorder the terms: x + (-10 + x2) = 122 Remove parenthesis around (-10 + x2) x + -10 + x2 = 122 Reorder the terms: -10 + x + x2 = 122 Solving -10 + x + x2 = 122 Solving for variable 'x'. Reorder the terms: -10 + -122 + x + x2 = 122 + -122 Combine like terms: -10 + -122 = -132 -132 + x + x2 = 122 + -122 Combine like terms: 122 + -122 = 0 -132 + x + x2 = 0 Factor a trinomial. (-12 + -1x)(11 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 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 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-12, 11}
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