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Simplifying 21u2 + -23uv + -20v2 = 0 Reorder the terms: -23uv + 21u2 + -20v2 = 0 Solving -23uv + 21u2 + -20v2 = 0 Solving for variable 'u'. Factor a trinomial. (3u + -5v)(7u + 4v) = 0Subproblem 1
Set the factor '(3u + -5v)' equal to zero and attempt to solve: Simplifying 3u + -5v = 0 Solving 3u + -5v = 0 Move all terms containing u to the left, all other terms to the right. Add '5v' to each side of the equation. 3u + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 3u + 0 = 0 + 5v 3u = 0 + 5v Remove the zero: 3u = 5v Divide each side by '3'. u = 1.666666667v Simplifying u = 1.666666667vSubproblem 2
Set the factor '(7u + 4v)' equal to zero and attempt to solve: Simplifying 7u + 4v = 0 Solving 7u + 4v = 0 Move all terms containing u to the left, all other terms to the right. Add '-4v' to each side of the equation. 7u + 4v + -4v = 0 + -4v Combine like terms: 4v + -4v = 0 7u + 0 = 0 + -4v 7u = 0 + -4v Remove the zero: 7u = -4v Divide each side by '7'. u = -0.5714285714v Simplifying u = -0.5714285714vSolution
u = {1.666666667v, -0.5714285714v}
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