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Simplifying 2x2 + x + 43 = x2 + -12x + 3 Reorder the terms: 43 + x + 2x2 = x2 + -12x + 3 Reorder the terms: 43 + x + 2x2 = 3 + -12x + x2 Solving 43 + x + 2x2 = 3 + -12x + x2 Solving for variable 'x'. Reorder the terms: 43 + -3 + x + 12x + 2x2 + -1x2 = 3 + -12x + x2 + -3 + 12x + -1x2 Combine like terms: 43 + -3 = 40 40 + x + 12x + 2x2 + -1x2 = 3 + -12x + x2 + -3 + 12x + -1x2 Combine like terms: x + 12x = 13x 40 + 13x + 2x2 + -1x2 = 3 + -12x + x2 + -3 + 12x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 40 + 13x + 1x2 = 3 + -12x + x2 + -3 + 12x + -1x2 Reorder the terms: 40 + 13x + 1x2 = 3 + -3 + -12x + 12x + x2 + -1x2 Combine like terms: 3 + -3 = 0 40 + 13x + 1x2 = 0 + -12x + 12x + x2 + -1x2 40 + 13x + 1x2 = -12x + 12x + x2 + -1x2 Combine like terms: -12x + 12x = 0 40 + 13x + 1x2 = 0 + x2 + -1x2 40 + 13x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 40 + 13x + 1x2 = 0 Factor a trinomial. (8 + x)(5 + x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
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 = -5Solution
x = {-8, -5}
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