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Simplifying -11x2 + 880x + -13200 = 0 Reorder the terms: -13200 + 880x + -11x2 = 0 Solving -13200 + 880x + -11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '11'. 11(-1200 + 80x + -1x2) = 0 Factor a trinomial. 11((-60 + x)(20 + -1x)) = 0 Ignore the factor 11.Subproblem 1
Set the factor '(-60 + x)' equal to zero and attempt to solve: Simplifying -60 + x = 0 Solving -60 + x = 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 + x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + x = 0 + 60 x = 0 + 60 Combine like terms: 0 + 60 = 60 x = 60 Simplifying x = 60Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {60, 20}
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