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Simplifying x2 + 9x + 31 = -6x + -5 Reorder the terms: 31 + 9x + x2 = -6x + -5 Reorder the terms: 31 + 9x + x2 = -5 + -6x Solving 31 + 9x + x2 = -5 + -6x Solving for variable 'x'. Reorder the terms: 31 + 5 + 9x + 6x + x2 = -5 + -6x + 5 + 6x Combine like terms: 31 + 5 = 36 36 + 9x + 6x + x2 = -5 + -6x + 5 + 6x Combine like terms: 9x + 6x = 15x 36 + 15x + x2 = -5 + -6x + 5 + 6x Reorder the terms: 36 + 15x + x2 = -5 + 5 + -6x + 6x Combine like terms: -5 + 5 = 0 36 + 15x + x2 = 0 + -6x + 6x 36 + 15x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 36 + 15x + x2 = 0 Factor a trinomial. (12 + x)(3 + x) = 0Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 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 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-12, -3}
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