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