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Simplifying 13X = -1X2 + -12 Reorder the terms: 13X = -12 + -1X2 Solving 13X = -12 + -1X2 Solving for variable 'X'. Reorder the terms: 12 + 13X + X2 = -12 + -1X2 + 12 + X2 Reorder the terms: 12 + 13X + X2 = -12 + 12 + -1X2 + X2 Combine like terms: -12 + 12 = 0 12 + 13X + X2 = 0 + -1X2 + X2 12 + 13X + X2 = -1X2 + X2 Combine like terms: -1X2 + X2 = 0 12 + 13X + X2 = 0 Factor a trinomial. (12 + X)(1 + 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 '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {-12, -1}
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