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Simplifying X2 + 13X + 34 = -2X + -2 Reorder the terms: 34 + 13X + X2 = -2X + -2 Reorder the terms: 34 + 13X + X2 = -2 + -2X Solving 34 + 13X + X2 = -2 + -2X Solving for variable 'X'. Reorder the terms: 34 + 2 + 13X + 2X + X2 = -2 + -2X + 2 + 2X Combine like terms: 34 + 2 = 36 36 + 13X + 2X + X2 = -2 + -2X + 2 + 2X Combine like terms: 13X + 2X = 15X 36 + 15X + X2 = -2 + -2X + 2 + 2X Reorder the terms: 36 + 15X + X2 = -2 + 2 + -2X + 2X Combine like terms: -2 + 2 = 0 36 + 15X + X2 = 0 + -2X + 2X 36 + 15X + X2 = -2X + 2X Combine like terms: -2X + 2X = 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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