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Simplifying 25v2 + -60vu + 36u2 = 0 Reorder the terms: -60uv + 36u2 + 25v2 = 0 Solving -60uv + 36u2 + 25v2 = 0 Solving for variable 'u'. Factor a trinomial. (6u + -5v)(6u + -5v) = 0Subproblem 1
Set the factor '(6u + -5v)' equal to zero and attempt to solve: Simplifying 6u + -5v = 0 Solving 6u + -5v = 0 Move all terms containing u to the left, all other terms to the right. Add '5v' to each side of the equation. 6u + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 6u + 0 = 0 + 5v 6u = 0 + 5v Remove the zero: 6u = 5v Divide each side by '6'. u = 0.8333333333v Simplifying u = 0.8333333333vSubproblem 2
Set the factor '(6u + -5v)' equal to zero and attempt to solve: Simplifying 6u + -5v = 0 Solving 6u + -5v = 0 Move all terms containing u to the left, all other terms to the right. Add '5v' to each side of the equation. 6u + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 6u + 0 = 0 + 5v 6u = 0 + 5v Remove the zero: 6u = 5v Divide each side by '6'. u = 0.8333333333v Simplifying u = 0.8333333333vSolution
u = {0.8333333333v, 0.8333333333v}
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