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Simplifying x2 + 50x + -3471 = 0 Reorder the terms: -3471 + 50x + x2 = 0 Solving -3471 + 50x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-89 + -1x)(39 + -1x) = 0Subproblem 1
Set the factor '(-89 + -1x)' equal to zero and attempt to solve: Simplifying -89 + -1x = 0 Solving -89 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + -1x = 0 + 89 Combine like terms: -89 + 89 = 0 0 + -1x = 0 + 89 -1x = 0 + 89 Combine like terms: 0 + 89 = 89 -1x = 89 Divide each side by '-1'. x = -89 Simplifying x = -89Subproblem 2
Set the factor '(39 + -1x)' equal to zero and attempt to solve: Simplifying 39 + -1x = 0 Solving 39 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -1x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -1x = 0 + -39 -1x = 0 + -39 Combine like terms: 0 + -39 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39Solution
x = {-89, 39}
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