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Simplifying 9u2 + -30uw + 25w2 = 0 Reorder the terms: -30uw + 9u2 + 25w2 = 0 Solving -30uw + 9u2 + 25w2 = 0 Solving for variable 'u'. Factor a trinomial. (3u + -5w)(3u + -5w) = 0Subproblem 1
Set the factor '(3u + -5w)' equal to zero and attempt to solve: Simplifying 3u + -5w = 0 Solving 3u + -5w = 0 Move all terms containing u to the left, all other terms to the right. Add '5w' to each side of the equation. 3u + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 3u + 0 = 0 + 5w 3u = 0 + 5w Remove the zero: 3u = 5w Divide each side by '3'. u = 1.666666667w Simplifying u = 1.666666667wSubproblem 2
Set the factor '(3u + -5w)' equal to zero and attempt to solve: Simplifying 3u + -5w = 0 Solving 3u + -5w = 0 Move all terms containing u to the left, all other terms to the right. Add '5w' to each side of the equation. 3u + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 3u + 0 = 0 + 5w 3u = 0 + 5w Remove the zero: 3u = 5w Divide each side by '3'. u = 1.666666667w Simplifying u = 1.666666667wSolution
u = {1.666666667w, 1.666666667w}
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