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Simplifying 1004x + -1x2 = 234315 Solving 1004x + -1x2 = 234315 Solving for variable 'x'. Reorder the terms: -234315 + 1004x + -1x2 = 234315 + -234315 Combine like terms: 234315 + -234315 = 0 -234315 + 1004x + -1x2 = 0 Factor a trinomial. (-635 + x)(369 + -1x) = 0Subproblem 1
Set the factor '(-635 + x)' equal to zero and attempt to solve: Simplifying -635 + x = 0 Solving -635 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '635' to each side of the equation. -635 + 635 + x = 0 + 635 Combine like terms: -635 + 635 = 0 0 + x = 0 + 635 x = 0 + 635 Combine like terms: 0 + 635 = 635 x = 635 Simplifying x = 635Subproblem 2
Set the factor '(369 + -1x)' equal to zero and attempt to solve: Simplifying 369 + -1x = 0 Solving 369 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-369' to each side of the equation. 369 + -369 + -1x = 0 + -369 Combine like terms: 369 + -369 = 0 0 + -1x = 0 + -369 -1x = 0 + -369 Combine like terms: 0 + -369 = -369 -1x = -369 Divide each side by '-1'. x = 369 Simplifying x = 369Solution
x = {635, 369}
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