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Simplifying x2 + -98x + -3375 = 0 Reorder the terms: -3375 + -98x + x2 = 0 Solving -3375 + -98x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-27 + -1x)(125 + -1x) = 0Subproblem 1
Set the factor '(-27 + -1x)' equal to zero and attempt to solve: Simplifying -27 + -1x = 0 Solving -27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 0 + 27 -1x = 0 + 27 Combine like terms: 0 + 27 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27Subproblem 2
Set the factor '(125 + -1x)' equal to zero and attempt to solve: Simplifying 125 + -1x = 0 Solving 125 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -1x = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -1x = 0 + -125 -1x = 0 + -125 Combine like terms: 0 + -125 = -125 -1x = -125 Divide each side by '-1'. x = 125 Simplifying x = 125Solution
x = {-27, 125}
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