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Simplifying x2 + -2x + -15624 = 0 Reorder the terms: -15624 + -2x + x2 = 0 Solving -15624 + -2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-124 + -1x)(126 + -1x) = 0Subproblem 1
Set the factor '(-124 + -1x)' equal to zero and attempt to solve: Simplifying -124 + -1x = 0 Solving -124 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '124' to each side of the equation. -124 + 124 + -1x = 0 + 124 Combine like terms: -124 + 124 = 0 0 + -1x = 0 + 124 -1x = 0 + 124 Combine like terms: 0 + 124 = 124 -1x = 124 Divide each side by '-1'. x = -124 Simplifying x = -124Subproblem 2
Set the factor '(126 + -1x)' equal to zero and attempt to solve: Simplifying 126 + -1x = 0 Solving 126 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + -1x = 0 + -126 Combine like terms: 126 + -126 = 0 0 + -1x = 0 + -126 -1x = 0 + -126 Combine like terms: 0 + -126 = -126 -1x = -126 Divide each side by '-1'. x = 126 Simplifying x = 126Solution
x = {-124, 126}
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