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Simplifying 878x + -1x2 = 180177 Solving 878x + -1x2 = 180177 Solving for variable 'x'. Reorder the terms: -180177 + 878x + -1x2 = 180177 + -180177 Combine like terms: 180177 + -180177 = 0 -180177 + 878x + -1x2 = 0 Factor a trinomial. (-551 + x)(327 + -1x) = 0Subproblem 1
Set the factor '(-551 + x)' equal to zero and attempt to solve: Simplifying -551 + x = 0 Solving -551 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '551' to each side of the equation. -551 + 551 + x = 0 + 551 Combine like terms: -551 + 551 = 0 0 + x = 0 + 551 x = 0 + 551 Combine like terms: 0 + 551 = 551 x = 551 Simplifying x = 551Subproblem 2
Set the factor '(327 + -1x)' equal to zero and attempt to solve: Simplifying 327 + -1x = 0 Solving 327 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-327' to each side of the equation. 327 + -327 + -1x = 0 + -327 Combine like terms: 327 + -327 = 0 0 + -1x = 0 + -327 -1x = 0 + -327 Combine like terms: 0 + -327 = -327 -1x = -327 Divide each side by '-1'. x = 327 Simplifying x = 327Solution
x = {551, 327}
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