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Simplifying 9w2 + 48wu + 64u2 = 0 Reorder the terms: 48uw + 64u2 + 9w2 = 0 Solving 48uw + 64u2 + 9w2 = 0 Solving for variable 'u'. Factor a trinomial. (8u + 3w)(8u + 3w) = 0Subproblem 1
Set the factor '(8u + 3w)' equal to zero and attempt to solve: Simplifying 8u + 3w = 0 Solving 8u + 3w = 0 Move all terms containing u to the left, all other terms to the right. Add '-3w' to each side of the equation. 8u + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 8u + 0 = 0 + -3w 8u = 0 + -3w Remove the zero: 8u = -3w Divide each side by '8'. u = -0.375w Simplifying u = -0.375wSubproblem 2
Set the factor '(8u + 3w)' equal to zero and attempt to solve: Simplifying 8u + 3w = 0 Solving 8u + 3w = 0 Move all terms containing u to the left, all other terms to the right. Add '-3w' to each side of the equation. 8u + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 8u + 0 = 0 + -3w 8u = 0 + -3w Remove the zero: 8u = -3w Divide each side by '8'. u = -0.375w Simplifying u = -0.375wSolution
u = {-0.375w, -0.375w}
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