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Simplifying 9u2 + -48uv + 64v2 = 0 Reorder the terms: -48uv + 9u2 + 64v2 = 0 Solving -48uv + 9u2 + 64v2 = 0 Solving for variable 'u'. Factor a trinomial. (3u + -8v)(3u + -8v) = 0Subproblem 1
Set the factor '(3u + -8v)' equal to zero and attempt to solve: Simplifying 3u + -8v = 0 Solving 3u + -8v = 0 Move all terms containing u to the left, all other terms to the right. Add '8v' to each side of the equation. 3u + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 3u + 0 = 0 + 8v 3u = 0 + 8v Remove the zero: 3u = 8v Divide each side by '3'. u = 2.666666667v Simplifying u = 2.666666667vSubproblem 2
Set the factor '(3u + -8v)' equal to zero and attempt to solve: Simplifying 3u + -8v = 0 Solving 3u + -8v = 0 Move all terms containing u to the left, all other terms to the right. Add '8v' to each side of the equation. 3u + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 3u + 0 = 0 + 8v 3u = 0 + 8v Remove the zero: 3u = 8v Divide each side by '3'. u = 2.666666667v Simplifying u = 2.666666667vSolution
u = {2.666666667v, 2.666666667v}
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