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Simplifying x2 + 7x + 34 = -8x + -20 Reorder the terms: 34 + 7x + x2 = -8x + -20 Reorder the terms: 34 + 7x + x2 = -20 + -8x Solving 34 + 7x + x2 = -20 + -8x Solving for variable 'x'. Reorder the terms: 34 + 20 + 7x + 8x + x2 = -20 + -8x + 20 + 8x Combine like terms: 34 + 20 = 54 54 + 7x + 8x + x2 = -20 + -8x + 20 + 8x Combine like terms: 7x + 8x = 15x 54 + 15x + x2 = -20 + -8x + 20 + 8x Reorder the terms: 54 + 15x + x2 = -20 + 20 + -8x + 8x Combine like terms: -20 + 20 = 0 54 + 15x + x2 = 0 + -8x + 8x 54 + 15x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 54 + 15x + x2 = 0 Factor a trinomial. (9 + x)(6 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-9, -6}
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