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Simplifying x2 + 14x + -527 = 0 Reorder the terms: -527 + 14x + x2 = 0 Solving -527 + 14x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-31 + -1x)(17 + -1x) = 0Subproblem 1
Set the factor '(-31 + -1x)' equal to zero and attempt to solve: Simplifying -31 + -1x = 0 Solving -31 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1x = 0 + 31 -1x = 0 + 31 Combine like terms: 0 + 31 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-31, 17}
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