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Simplifying 9150 = x2 + -20x + 34 Reorder the terms: 9150 = 34 + -20x + x2 Solving 9150 = 34 + -20x + x2 Solving for variable 'x'. Combine like terms: 9150 + -34 = 9116 9116 + 20x + -1x2 = 34 + -20x + x2 + -34 + 20x + -1x2 Reorder the terms: 9116 + 20x + -1x2 = 34 + -34 + -20x + 20x + x2 + -1x2 Combine like terms: 34 + -34 = 0 9116 + 20x + -1x2 = 0 + -20x + 20x + x2 + -1x2 9116 + 20x + -1x2 = -20x + 20x + x2 + -1x2 Combine like terms: -20x + 20x = 0 9116 + 20x + -1x2 = 0 + x2 + -1x2 9116 + 20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9116 + 20x + -1x2 = 0 Factor a trinomial. (106 + -1x)(86 + x) = 0Subproblem 1
Set the factor '(106 + -1x)' equal to zero and attempt to solve: Simplifying 106 + -1x = 0 Solving 106 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + -1x = 0 + -106 Combine like terms: 106 + -106 = 0 0 + -1x = 0 + -106 -1x = 0 + -106 Combine like terms: 0 + -106 = -106 -1x = -106 Divide each side by '-1'. x = 106 Simplifying x = 106Subproblem 2
Set the factor '(86 + x)' equal to zero and attempt to solve: Simplifying 86 + x = 0 Solving 86 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + x = 0 + -86 Combine like terms: 86 + -86 = 0 0 + x = 0 + -86 x = 0 + -86 Combine like terms: 0 + -86 = -86 x = -86 Simplifying x = -86Solution
x = {106, -86}
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