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Simplifying 81u2 + -36uw + 4w2 = 0 Reorder the terms: -36uw + 81u2 + 4w2 = 0 Solving -36uw + 81u2 + 4w2 = 0 Solving for variable 'u'. Factor a trinomial. (9u + -2w)(9u + -2w) = 0Subproblem 1
Set the factor '(9u + -2w)' equal to zero and attempt to solve: Simplifying 9u + -2w = 0 Solving 9u + -2w = 0 Move all terms containing u to the left, all other terms to the right. Add '2w' to each side of the equation. 9u + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 9u + 0 = 0 + 2w 9u = 0 + 2w Remove the zero: 9u = 2w Divide each side by '9'. u = 0.2222222222w Simplifying u = 0.2222222222wSubproblem 2
Set the factor '(9u + -2w)' equal to zero and attempt to solve: Simplifying 9u + -2w = 0 Solving 9u + -2w = 0 Move all terms containing u to the left, all other terms to the right. Add '2w' to each side of the equation. 9u + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 9u + 0 = 0 + 2w 9u = 0 + 2w Remove the zero: 9u = 2w Divide each side by '9'. u = 0.2222222222w Simplifying u = 0.2222222222wSolution
u = {0.2222222222w, 0.2222222222w}
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