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Simplifying 2x2 + 17x + 8 = -27 Reorder the terms: 8 + 17x + 2x2 = -27 Solving 8 + 17x + 2x2 = -27 Solving for variable 'x'. Reorder the terms: 8 + 27 + 17x + 2x2 = -27 + 27 Combine like terms: 8 + 27 = 35 35 + 17x + 2x2 = -27 + 27 Combine like terms: -27 + 27 = 0 35 + 17x + 2x2 = 0 Factor a trinomial. (5 + x)(7 + 2x) = 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 '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {-5, -3.5}
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