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Simplifying 0 = 9u2 + 30u + 25 Reorder the terms: 0 = 25 + 30u + 9u2 Solving 0 = 25 + 30u + 9u2 Solving for variable 'u'. Combine like terms: 0 + -25 = -25 -25 + -30u + -9u2 = 25 + 30u + 9u2 + -25 + -30u + -9u2 Reorder the terms: -25 + -30u + -9u2 = 25 + -25 + 30u + -30u + 9u2 + -9u2 Combine like terms: 25 + -25 = 0 -25 + -30u + -9u2 = 0 + 30u + -30u + 9u2 + -9u2 -25 + -30u + -9u2 = 30u + -30u + 9u2 + -9u2 Combine like terms: 30u + -30u = 0 -25 + -30u + -9u2 = 0 + 9u2 + -9u2 -25 + -30u + -9u2 = 9u2 + -9u2 Combine like terms: 9u2 + -9u2 = 0 -25 + -30u + -9u2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 30u + 9u2) = 0 Factor a trinomial. -1((5 + 3u)(5 + 3u)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 3u)' equal to zero and attempt to solve: Simplifying 5 + 3u = 0 Solving 5 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3u = 0 + -5 3u = 0 + -5 Combine like terms: 0 + -5 = -5 3u = -5 Divide each side by '3'. u = -1.666666667 Simplifying u = -1.666666667Subproblem 2
Set the factor '(5 + 3u)' equal to zero and attempt to solve: Simplifying 5 + 3u = 0 Solving 5 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3u = 0 + -5 3u = 0 + -5 Combine like terms: 0 + -5 = -5 3u = -5 Divide each side by '3'. u = -1.666666667 Simplifying u = -1.666666667Solution
u = {-1.666666667, -1.666666667}
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