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Simplifying 9u2 = 30u + -25 Reorder the terms: 9u2 = -25 + 30u Solving 9u2 = -25 + 30u Solving for variable 'u'. Reorder the terms: 25 + -30u + 9u2 = -25 + 30u + 25 + -30u Reorder the terms: 25 + -30u + 9u2 = -25 + 25 + 30u + -30u Combine like terms: -25 + 25 = 0 25 + -30u + 9u2 = 0 + 30u + -30u 25 + -30u + 9u2 = 30u + -30u Combine like terms: 30u + -30u = 0 25 + -30u + 9u2 = 0 Factor a trinomial. (5 + -3u)(5 + -3u) = 0Subproblem 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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