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Simplifying 3x2 + -5x = 782 Reorder the terms: -5x + 3x2 = 782 Solving -5x + 3x2 = 782 Solving for variable 'x'. Reorder the terms: -782 + -5x + 3x2 = 782 + -782 Combine like terms: 782 + -782 = 0 -782 + -5x + 3x2 = 0 Factor a trinomial. (-46 + -3x)(17 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 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 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-15.33333333, 17}
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