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Simplifying X2 + 12 = -7X Reorder the terms: 12 + X2 = -7X Solving 12 + X2 = -7X Solving for variable 'X'. Reorder the terms: 12 + 7X + X2 = -7X + 7X Combine like terms: -7X + 7X = 0 12 + 7X + X2 = 0 Factor a trinomial. (4 + X)(3 + X) = 0Subproblem 1
Set the factor '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Subproblem 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 = {-4, -3}
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