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Simplifying 25v2 + -20vu = -4u2 Reorder the terms: -20uv + 25v2 = -4u2 Solving -20uv + 25v2 = -4u2 Solving for variable 'u'. Reorder the terms: -20uv + 4u2 + 25v2 = -4u2 + 4u2 Combine like terms: -4u2 + 4u2 = 0 -20uv + 4u2 + 25v2 = 0 Factor a trinomial. (2u + -5v)(2u + -5v) = 0Subproblem 1
Set the factor '(2u + -5v)' equal to zero and attempt to solve: Simplifying 2u + -5v = 0 Solving 2u + -5v = 0 Move all terms containing u to the left, all other terms to the right. Add '5v' to each side of the equation. 2u + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 2u + 0 = 0 + 5v 2u = 0 + 5v Remove the zero: 2u = 5v Divide each side by '2'. u = 2.5v Simplifying u = 2.5vSubproblem 2
Set the factor '(2u + -5v)' equal to zero and attempt to solve: Simplifying 2u + -5v = 0 Solving 2u + -5v = 0 Move all terms containing u to the left, all other terms to the right. Add '5v' to each side of the equation. 2u + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 2u + 0 = 0 + 5v 2u = 0 + 5v Remove the zero: 2u = 5v Divide each side by '2'. u = 2.5v Simplifying u = 2.5vSolution
u = {2.5v, 2.5v}
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