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Simplifying x2 + 17x + 17 = 8x + -3 Reorder the terms: 17 + 17x + x2 = 8x + -3 Reorder the terms: 17 + 17x + x2 = -3 + 8x Solving 17 + 17x + x2 = -3 + 8x Solving for variable 'x'. Reorder the terms: 17 + 3 + 17x + -8x + x2 = -3 + 8x + 3 + -8x Combine like terms: 17 + 3 = 20 20 + 17x + -8x + x2 = -3 + 8x + 3 + -8x Combine like terms: 17x + -8x = 9x 20 + 9x + x2 = -3 + 8x + 3 + -8x Reorder the terms: 20 + 9x + x2 = -3 + 3 + 8x + -8x Combine like terms: -3 + 3 = 0 20 + 9x + x2 = 0 + 8x + -8x 20 + 9x + x2 = 8x + -8x Combine like terms: 8x + -8x = 0 20 + 9x + x2 = 0 Factor a trinomial. (5 + x)(4 + 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 '(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 = {-5, -4}
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