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Simplifying x2 + 20x + 31 = 7x + -5 Reorder the terms: 31 + 20x + x2 = 7x + -5 Reorder the terms: 31 + 20x + x2 = -5 + 7x Solving 31 + 20x + x2 = -5 + 7x Solving for variable 'x'. Reorder the terms: 31 + 5 + 20x + -7x + x2 = -5 + 7x + 5 + -7x Combine like terms: 31 + 5 = 36 36 + 20x + -7x + x2 = -5 + 7x + 5 + -7x Combine like terms: 20x + -7x = 13x 36 + 13x + x2 = -5 + 7x + 5 + -7x Reorder the terms: 36 + 13x + x2 = -5 + 5 + 7x + -7x Combine like terms: -5 + 5 = 0 36 + 13x + x2 = 0 + 7x + -7x 36 + 13x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 36 + 13x + x2 = 0 Factor a trinomial. (9 + x)(4 + x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
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 = -4Solution
x = {-9, -4}
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