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Simplifying u2 + -2uv + -80v2 = 0 Reorder the terms: -2uv + u2 + -80v2 = 0 Solving -2uv + u2 + -80v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -10v)(u + 8v) = 0Subproblem 1
Set the factor '(u + -10v)' equal to zero and attempt to solve: Simplifying u + -10v = 0 Solving u + -10v = 0 Move all terms containing u to the left, all other terms to the right. Add '10v' to each side of the equation. u + -10v + 10v = 0 + 10v Combine like terms: -10v + 10v = 0 u + 0 = 0 + 10v u = 0 + 10v Remove the zero: u = 10v Simplifying u = 10vSubproblem 2
Set the factor '(u + 8v)' equal to zero and attempt to solve: Simplifying u + 8v = 0 Solving u + 8v = 0 Move all terms containing u to the left, all other terms to the right. Add '-8v' to each side of the equation. u + 8v + -8v = 0 + -8v Combine like terms: 8v + -8v = 0 u + 0 = 0 + -8v u = 0 + -8v Remove the zero: u = -8v Simplifying u = -8vSolution
u = {10v, -8v}
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