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Simplifying x2 + -60x + -7200 = 0 Reorder the terms: -7200 + -60x + x2 = 0 Solving -7200 + -60x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-60 + -1x)(120 + -1x) = 0Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve: Simplifying -60 + -1x = 0 Solving -60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -1x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -1x = 0 + 60 -1x = 0 + 60 Combine like terms: 0 + 60 = 60 -1x = 60 Divide each side by '-1'. x = -60 Simplifying x = -60Subproblem 2
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 = 120Solution
x = {-60, 120}
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