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Simplifying x2 + 28x + -45173 = 0 Reorder the terms: -45173 + 28x + x2 = 0 Solving -45173 + 28x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-227 + -1x)(199 + -1x) = 0Subproblem 1
Set the factor '(-227 + -1x)' equal to zero and attempt to solve: Simplifying -227 + -1x = 0 Solving -227 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '227' to each side of the equation. -227 + 227 + -1x = 0 + 227 Combine like terms: -227 + 227 = 0 0 + -1x = 0 + 227 -1x = 0 + 227 Combine like terms: 0 + 227 = 227 -1x = 227 Divide each side by '-1'. x = -227 Simplifying x = -227Subproblem 2
Set the factor '(199 + -1x)' equal to zero and attempt to solve: Simplifying 199 + -1x = 0 Solving 199 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-199' to each side of the equation. 199 + -199 + -1x = 0 + -199 Combine like terms: 199 + -199 = 0 0 + -1x = 0 + -199 -1x = 0 + -199 Combine like terms: 0 + -199 = -199 -1x = -199 Divide each side by '-1'. x = 199 Simplifying x = 199Solution
x = {-227, 199}
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