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Simplifying 13x2 + -65x + -195000 = 0 Reorder the terms: -195000 + -65x + 13x2 = 0 Solving -195000 + -65x + 13x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '13'. 13(-15000 + -5x + x2) = 0 Factor a trinomial. 13((-120 + -1x)(125 + -1x)) = 0 Ignore the factor 13.Subproblem 1
Set the factor '(-120 + -1x)' equal to zero and attempt to solve: Simplifying -120 + -1x = 0 Solving -120 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + -1x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + -1x = 0 + 120 -1x = 0 + 120 Combine like terms: 0 + 120 = 120 -1x = 120 Divide each side by '-1'. x = -120 Simplifying x = -120Subproblem 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 = {-120, 125}
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