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Simplifying 16u2 + -40uv + 25v2 = 0 Reorder the terms: -40uv + 16u2 + 25v2 = 0 Solving -40uv + 16u2 + 25v2 = 0 Solving for variable 'u'. Factor a trinomial. (4u + -5v)(4u + -5v) = 0Subproblem 1
Set the factor '(4u + -5v)' equal to zero and attempt to solve: Simplifying 4u + -5v = 0 Solving 4u + -5v = 0 Move all terms containing u to the left, all other terms to the right. Add '5v' to each side of the equation. 4u + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 4u + 0 = 0 + 5v 4u = 0 + 5v Remove the zero: 4u = 5v Divide each side by '4'. u = 1.25v Simplifying u = 1.25vSubproblem 2
Set the factor '(4u + -5v)' equal to zero and attempt to solve: Simplifying 4u + -5v = 0 Solving 4u + -5v = 0 Move all terms containing u to the left, all other terms to the right. Add '5v' to each side of the equation. 4u + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 4u + 0 = 0 + 5v 4u = 0 + 5v Remove the zero: 4u = 5v Divide each side by '4'. u = 1.25v Simplifying u = 1.25vSolution
u = {1.25v, 1.25v}
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