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Simplifying x2 + 4x + 17 = -5x + -1 Reorder the terms: 17 + 4x + x2 = -5x + -1 Reorder the terms: 17 + 4x + x2 = -1 + -5x Solving 17 + 4x + x2 = -1 + -5x Solving for variable 'x'. Reorder the terms: 17 + 1 + 4x + 5x + x2 = -1 + -5x + 1 + 5x Combine like terms: 17 + 1 = 18 18 + 4x + 5x + x2 = -1 + -5x + 1 + 5x Combine like terms: 4x + 5x = 9x 18 + 9x + x2 = -1 + -5x + 1 + 5x Reorder the terms: 18 + 9x + x2 = -1 + 1 + -5x + 5x Combine like terms: -1 + 1 = 0 18 + 9x + x2 = 0 + -5x + 5x 18 + 9x + x2 = -5x + 5x Combine like terms: -5x + 5x = 0 18 + 9x + x2 = 0 Factor a trinomial. (6 + x)(3 + x) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-6, -3}
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