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Simplifying -3x2 + -2x + 1116 = 380 Reorder the terms: 1116 + -2x + -3x2 = 380 Solving 1116 + -2x + -3x2 = 380 Solving for variable 'x'. Reorder the terms: 1116 + -380 + -2x + -3x2 = 380 + -380 Combine like terms: 1116 + -380 = 736 736 + -2x + -3x2 = 380 + -380 Combine like terms: 380 + -380 = 0 736 + -2x + -3x2 = 0 Factor a trinomial. (46 + -3x)(16 + 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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {15.33333333, -16}
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