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Simplifying x2 + 17x + 61 = 2x + 7 Reorder the terms: 61 + 17x + x2 = 2x + 7 Reorder the terms: 61 + 17x + x2 = 7 + 2x Solving 61 + 17x + x2 = 7 + 2x Solving for variable 'x'. Reorder the terms: 61 + -7 + 17x + -2x + x2 = 7 + 2x + -7 + -2x Combine like terms: 61 + -7 = 54 54 + 17x + -2x + x2 = 7 + 2x + -7 + -2x Combine like terms: 17x + -2x = 15x 54 + 15x + x2 = 7 + 2x + -7 + -2x Reorder the terms: 54 + 15x + x2 = 7 + -7 + 2x + -2x Combine like terms: 7 + -7 = 0 54 + 15x + x2 = 0 + 2x + -2x 54 + 15x + x2 = 2x + -2x Combine like terms: 2x + -2x = 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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