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Simplifying x2 + -13x + 50 = 8750 Reorder the terms: 50 + -13x + x2 = 8750 Solving 50 + -13x + x2 = 8750 Solving for variable 'x'. Reorder the terms: 50 + -8750 + -13x + x2 = 8750 + -8750 Combine like terms: 50 + -8750 = -8700 -8700 + -13x + x2 = 8750 + -8750 Combine like terms: 8750 + -8750 = 0 -8700 + -13x + x2 = 0 Factor a trinomial. (-87 + -1x)(100 + -1x) = 0Subproblem 1
Set the factor '(-87 + -1x)' equal to zero and attempt to solve: Simplifying -87 + -1x = 0 Solving -87 + -1x = 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 + -1x = 0 + 87 Combine like terms: -87 + 87 = 0 0 + -1x = 0 + 87 -1x = 0 + 87 Combine like terms: 0 + 87 = 87 -1x = 87 Divide each side by '-1'. x = -87 Simplifying x = -87Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100Solution
x = {-87, 100}
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