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Simplifying x2 + 12x + 13 = 4x + -2 Reorder the terms: 13 + 12x + x2 = 4x + -2 Reorder the terms: 13 + 12x + x2 = -2 + 4x Solving 13 + 12x + x2 = -2 + 4x Solving for variable 'x'. Reorder the terms: 13 + 2 + 12x + -4x + x2 = -2 + 4x + 2 + -4x Combine like terms: 13 + 2 = 15 15 + 12x + -4x + x2 = -2 + 4x + 2 + -4x Combine like terms: 12x + -4x = 8x 15 + 8x + x2 = -2 + 4x + 2 + -4x Reorder the terms: 15 + 8x + x2 = -2 + 2 + 4x + -4x Combine like terms: -2 + 2 = 0 15 + 8x + x2 = 0 + 4x + -4x 15 + 8x + x2 = 4x + -4x Combine like terms: 4x + -4x = 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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