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Simplifying 25x(x + 2) = 9000 Reorder the terms: 25x(2 + x) = 9000 (2 * 25x + x * 25x) = 9000 (50x + 25x2) = 9000 Solving 50x + 25x2 = 9000 Solving for variable 'x'. Reorder the terms: -9000 + 50x + 25x2 = 9000 + -9000 Combine like terms: 9000 + -9000 = 0 -9000 + 50x + 25x2 = 0 Factor out the Greatest Common Factor (GCF), '25'. 25(-360 + 2x + x2) = 0 Factor a trinomial. 25((-20 + -1x)(18 + -1x)) = 0 Ignore the factor 25.Subproblem 1
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 = -20Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-20, 18}
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