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Simplifying -200x2 + 8000x + -80000 = 0 Reorder the terms: -80000 + 8000x + -200x2 = 0 Solving -80000 + 8000x + -200x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '200'. 200(-400 + 40x + -1x2) = 0 Factor a trinomial. 200((-20 + x)(20 + -1x)) = 0 Ignore the factor 200.Subproblem 1
Set the factor '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 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 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Subproblem 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 = {20, 20}
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