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Simplifying u2 + -2uv + -35v2 = 0 Reorder the terms: -2uv + u2 + -35v2 = 0 Solving -2uv + u2 + -35v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -7v)(u + 5v) = 0Subproblem 1
Set the factor '(u + -7v)' equal to zero and attempt to solve: Simplifying u + -7v = 0 Solving u + -7v = 0 Move all terms containing u to the left, all other terms to the right. Add '7v' to each side of the equation. u + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 u + 0 = 0 + 7v u = 0 + 7v Remove the zero: u = 7v Simplifying u = 7vSubproblem 2
Set the factor '(u + 5v)' equal to zero and attempt to solve: Simplifying u + 5v = 0 Solving u + 5v = 0 Move all terms containing u to the left, all other terms to the right. Add '-5v' to each side of the equation. u + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 u + 0 = 0 + -5v u = 0 + -5v Remove the zero: u = -5v Simplifying u = -5vSolution
u = {7v, -5v}
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