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Simplifying -3x2 + -5x + 1162 = 380 Reorder the terms: 1162 + -5x + -3x2 = 380 Solving 1162 + -5x + -3x2 = 380 Solving for variable 'x'. Reorder the terms: 1162 + -380 + -5x + -3x2 = 380 + -380 Combine like terms: 1162 + -380 = 782 782 + -5x + -3x2 = 380 + -380 Combine like terms: 380 + -380 = 0 782 + -5x + -3x2 = 0 Factor a trinomial. (46 + -3x)(17 + x) = 0Subproblem 1
Set the factor '(46 + -3x)' equal to zero and attempt to solve: Simplifying 46 + -3x = 0 Solving 46 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -3x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -3x = 0 + -46 -3x = 0 + -46 Combine like terms: 0 + -46 = -46 -3x = -46 Divide each side by '-3'. x = 15.33333333 Simplifying x = 15.33333333Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {15.33333333, -17}
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