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Simplifying u2 + -7uv + -18v2 = 0 Reorder the terms: -7uv + u2 + -18v2 = 0 Solving -7uv + u2 + -18v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -9v)(u + 2v) = 0Subproblem 1
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 = 9vSubproblem 2
Set the factor '(u + 2v)' equal to zero and attempt to solve: Simplifying u + 2v = 0 Solving u + 2v = 0 Move all terms containing u to the left, all other terms to the right. Add '-2v' to each side of the equation. u + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 u + 0 = 0 + -2v u = 0 + -2v Remove the zero: u = -2v Simplifying u = -2vSolution
u = {9v, -2v}
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