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Simplifying x2 + -138x + -280 = 0 Reorder the terms: -280 + -138x + x2 = 0 Solving -280 + -138x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(140 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(140 + -1x)' equal to zero and attempt to solve: Simplifying 140 + -1x = 0 Solving 140 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -1x = 0 + -140 Combine like terms: 140 + -140 = 0 0 + -1x = 0 + -140 -1x = 0 + -140 Combine like terms: 0 + -140 = -140 -1x = -140 Divide each side by '-1'. x = 140 Simplifying x = 140Solution
x = {-2, 140}
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