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Simplifying 0 = 2x2 + 23x + -312 Reorder the terms: 0 = -312 + 23x + 2x2 Solving 0 = -312 + 23x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 312 = 312 312 + -23x + -2x2 = -312 + 23x + 2x2 + 312 + -23x + -2x2 Reorder the terms: 312 + -23x + -2x2 = -312 + 312 + 23x + -23x + 2x2 + -2x2 Combine like terms: -312 + 312 = 0 312 + -23x + -2x2 = 0 + 23x + -23x + 2x2 + -2x2 312 + -23x + -2x2 = 23x + -23x + 2x2 + -2x2 Combine like terms: 23x + -23x = 0 312 + -23x + -2x2 = 0 + 2x2 + -2x2 312 + -23x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 312 + -23x + -2x2 = 0 Factor a trinomial. (8 + -1x)(39 + 2x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(39 + 2x)' equal to zero and attempt to solve: Simplifying 39 + 2x = 0 Solving 39 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 2x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 2x = 0 + -39 2x = 0 + -39 Combine like terms: 0 + -39 = -39 2x = -39 Divide each side by '2'. x = -19.5 Simplifying x = -19.5Solution
x = {8, -19.5}
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