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Simplifying 2x2 + 23x + 37 = -8 Reorder the terms: 37 + 23x + 2x2 = -8 Solving 37 + 23x + 2x2 = -8 Solving for variable 'x'. Reorder the terms: 37 + 8 + 23x + 2x2 = -8 + 8 Combine like terms: 37 + 8 = 45 45 + 23x + 2x2 = -8 + 8 Combine like terms: -8 + 8 = 0 45 + 23x + 2x2 = 0 Factor a trinomial. (9 + x)(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-9, -2.5}
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