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Simplifying x2 + 12 = -8x + -3 Reorder the terms: 12 + x2 = -8x + -3 Reorder the terms: 12 + x2 = -3 + -8x Solving 12 + x2 = -3 + -8x Solving for variable 'x'. Reorder the terms: 12 + 3 + 8x + x2 = -3 + -8x + 3 + 8x Combine like terms: 12 + 3 = 15 15 + 8x + x2 = -3 + -8x + 3 + 8x Reorder the terms: 15 + 8x + x2 = -3 + 3 + -8x + 8x Combine like terms: -3 + 3 = 0 15 + 8x + x2 = 0 + -8x + 8x 15 + 8x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 15 + 8x + x2 = 0 Factor a trinomial. (5 + x)(3 + x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 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 = {-5, -3}
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