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Simplifying -100x2 + 4000x + -39975 = 0 Reorder the terms: -39975 + 4000x + -100x2 = 0 Solving -39975 + 4000x + -100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25'. 25(-1599 + 160x + -4x2) = 0 Factor a trinomial. 25((-41 + 2x)(39 + -2x)) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(-41 + 2x)' equal to zero and attempt to solve: Simplifying -41 + 2x = 0 Solving -41 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 2x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 2x = 0 + 41 2x = 0 + 41 Combine like terms: 0 + 41 = 41 2x = 41 Divide each side by '2'. x = 20.5 Simplifying x = 20.5Subproblem 2
Set the factor '(39 + -2x)' equal to zero and attempt to solve: Simplifying 39 + -2x = 0 Solving 39 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -2x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -2x = 0 + -39 -2x = 0 + -39 Combine like terms: 0 + -39 = -39 -2x = -39 Divide each side by '-2'. x = 19.5 Simplifying x = 19.5Solution
x = {20.5, 19.5}
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