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Simplifying 0 = x2 + -19x + -2990 Reorder the terms: 0 = -2990 + -19x + x2 Solving 0 = -2990 + -19x + x2 Solving for variable 'x'. Combine like terms: 0 + 2990 = 2990 2990 + 19x + -1x2 = -2990 + -19x + x2 + 2990 + 19x + -1x2 Reorder the terms: 2990 + 19x + -1x2 = -2990 + 2990 + -19x + 19x + x2 + -1x2 Combine like terms: -2990 + 2990 = 0 2990 + 19x + -1x2 = 0 + -19x + 19x + x2 + -1x2 2990 + 19x + -1x2 = -19x + 19x + x2 + -1x2 Combine like terms: -19x + 19x = 0 2990 + 19x + -1x2 = 0 + x2 + -1x2 2990 + 19x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2990 + 19x + -1x2 = 0 Factor a trinomial. (65 + -1x)(46 + x) = 0Subproblem 1
Set the factor '(65 + -1x)' equal to zero and attempt to solve: Simplifying 65 + -1x = 0 Solving 65 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -1x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -1x = 0 + -65 -1x = 0 + -65 Combine like terms: 0 + -65 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65Subproblem 2
Set the factor '(46 + x)' equal to zero and attempt to solve: Simplifying 46 + x = 0 Solving 46 + x = 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 + x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + x = 0 + -46 x = 0 + -46 Combine like terms: 0 + -46 = -46 x = -46 Simplifying x = -46Solution
x = {65, -46}
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