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Simplifying 0 = x2 + -9x + -9292 Reorder the terms: 0 = -9292 + -9x + x2 Solving 0 = -9292 + -9x + x2 Solving for variable 'x'. Combine like terms: 0 + 9292 = 9292 9292 + 9x + -1x2 = -9292 + -9x + x2 + 9292 + 9x + -1x2 Reorder the terms: 9292 + 9x + -1x2 = -9292 + 9292 + -9x + 9x + x2 + -1x2 Combine like terms: -9292 + 9292 = 0 9292 + 9x + -1x2 = 0 + -9x + 9x + x2 + -1x2 9292 + 9x + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 9292 + 9x + -1x2 = 0 + x2 + -1x2 9292 + 9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9292 + 9x + -1x2 = 0 Factor a trinomial. (101 + -1x)(92 + 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 '(92 + x)' equal to zero and attempt to solve: Simplifying 92 + x = 0 Solving 92 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + x = 0 + -92 Combine like terms: 92 + -92 = 0 0 + x = 0 + -92 x = 0 + -92 Combine like terms: 0 + -92 = -92 x = -92 Simplifying x = -92Solution
x = {101, -92}
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