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Simplifying 9250 = x2 + -10x + 59 Reorder the terms: 9250 = 59 + -10x + x2 Solving 9250 = 59 + -10x + x2 Solving for variable 'x'. Combine like terms: 9250 + -59 = 9191 9191 + 10x + -1x2 = 59 + -10x + x2 + -59 + 10x + -1x2 Reorder the terms: 9191 + 10x + -1x2 = 59 + -59 + -10x + 10x + x2 + -1x2 Combine like terms: 59 + -59 = 0 9191 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2 9191 + 10x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 9191 + 10x + -1x2 = 0 + x2 + -1x2 9191 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9191 + 10x + -1x2 = 0 Factor a trinomial. (101 + -1x)(91 + x) = 0Subproblem 1
Set the factor '(101 + -1x)' equal to zero and attempt to solve: Simplifying 101 + -1x = 0 Solving 101 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-101' to each side of the equation. 101 + -101 + -1x = 0 + -101 Combine like terms: 101 + -101 = 0 0 + -1x = 0 + -101 -1x = 0 + -101 Combine like terms: 0 + -101 = -101 -1x = -101 Divide each side by '-1'. x = 101 Simplifying x = 101Subproblem 2
Set the factor '(91 + x)' equal to zero and attempt to solve: Simplifying 91 + x = 0 Solving 91 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + x = 0 + -91 Combine like terms: 91 + -91 = 0 0 + x = 0 + -91 x = 0 + -91 Combine like terms: 0 + -91 = -91 x = -91 Simplifying x = -91Solution
x = {101, -91}
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