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Simplifying 60000 + -300x + -3x2 = 0 Solving 60000 + -300x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(20000 + -100x + -1x2) = 0 Factor a trinomial. 3((100 + -1x)(200 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100Subproblem 2
Set the factor '(200 + x)' equal to zero and attempt to solve: Simplifying 200 + x = 0 Solving 200 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + x = 0 + -200 x = 0 + -200 Combine like terms: 0 + -200 = -200 x = -200 Simplifying x = -200Solution
x = {100, -200}
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