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Simplifying u2 + -6uv + 9v2 = 0 Reorder the terms: -6uv + u2 + 9v2 = 0 Solving -6uv + u2 + 9v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -3v)(u + -3v) = 0Subproblem 1
Set the factor '(u + -3v)' equal to zero and attempt to solve: Simplifying u + -3v = 0 Solving u + -3v = 0 Move all terms containing u to the left, all other terms to the right. Add '3v' to each side of the equation. u + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 u + 0 = 0 + 3v u = 0 + 3v Remove the zero: u = 3v Simplifying u = 3vSubproblem 2
Set the factor '(u + -3v)' equal to zero and attempt to solve: Simplifying u + -3v = 0 Solving u + -3v = 0 Move all terms containing u to the left, all other terms to the right. Add '3v' to each side of the equation. u + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 u + 0 = 0 + 3v u = 0 + 3v Remove the zero: u = 3v Simplifying u = 3vSolution
u = {3v, 3v}
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