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Simplifying 150 = x2 + x + -6 Reorder the terms: 150 = -6 + x + x2 Solving 150 = -6 + x + x2 Solving for variable 'x'. Combine like terms: 150 + 6 = 156 156 + -1x + -1x2 = -6 + x + x2 + 6 + -1x + -1x2 Reorder the terms: 156 + -1x + -1x2 = -6 + 6 + x + -1x + x2 + -1x2 Combine like terms: -6 + 6 = 0 156 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2 156 + -1x + -1x2 = x + -1x + x2 + -1x2 Combine like terms: x + -1x = 0 156 + -1x + -1x2 = 0 + x2 + -1x2 156 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 156 + -1x + -1x2 = 0 Factor a trinomial. (12 + -1x)(13 + 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 '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {12, -13}
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