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Simplifying u2 + -3uv + -108v2 = 0 Reorder the terms: -3uv + u2 + -108v2 = 0 Solving -3uv + u2 + -108v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -12v)(u + 9v) = 0Subproblem 1
Set the factor '(u + -12v)' equal to zero and attempt to solve: Simplifying u + -12v = 0 Solving u + -12v = 0 Move all terms containing u to the left, all other terms to the right. Add '12v' to each side of the equation. u + -12v + 12v = 0 + 12v Combine like terms: -12v + 12v = 0 u + 0 = 0 + 12v u = 0 + 12v Remove the zero: u = 12v Simplifying u = 12vSubproblem 2
Set the factor '(u + 9v)' equal to zero and attempt to solve: Simplifying u + 9v = 0 Solving u + 9v = 0 Move all terms containing u to the left, all other terms to the right. Add '-9v' to each side of the equation. u + 9v + -9v = 0 + -9v Combine like terms: 9v + -9v = 0 u + 0 = 0 + -9v u = 0 + -9v Remove the zero: u = -9v Simplifying u = -9vSolution
u = {12v, -9v}
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