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Simplifying 8850 = x2 + -14x + 63 Reorder the terms: 8850 = 63 + -14x + x2 Solving 8850 = 63 + -14x + x2 Solving for variable 'x'. Combine like terms: 8850 + -63 = 8787 8787 + 14x + -1x2 = 63 + -14x + x2 + -63 + 14x + -1x2 Reorder the terms: 8787 + 14x + -1x2 = 63 + -63 + -14x + 14x + x2 + -1x2 Combine like terms: 63 + -63 = 0 8787 + 14x + -1x2 = 0 + -14x + 14x + x2 + -1x2 8787 + 14x + -1x2 = -14x + 14x + x2 + -1x2 Combine like terms: -14x + 14x = 0 8787 + 14x + -1x2 = 0 + x2 + -1x2 8787 + 14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8787 + 14x + -1x2 = 0 Factor a trinomial. (101 + -1x)(87 + 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 '(87 + x)' equal to zero and attempt to solve: Simplifying 87 + x = 0 Solving 87 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + x = 0 + -87 Combine like terms: 87 + -87 = 0 0 + x = 0 + -87 x = 0 + -87 Combine like terms: 0 + -87 = -87 x = -87 Simplifying x = -87Solution
x = {101, -87}
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