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Simplifying 5u2 + -53uv + 72v2 = 0 Reorder the terms: -53uv + 5u2 + 72v2 = 0 Solving -53uv + 5u2 + 72v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -9v)(5u + -8v) = 0Subproblem 1
Set the factor '(u + -9v)' equal to zero and attempt to solve: Simplifying u + -9v = 0 Solving u + -9v = 0 Move all terms containing u to the left, all other terms to the right. Add '9v' to each side of the equation. u + -9v + 9v = 0 + 9v Combine like terms: -9v + 9v = 0 u + 0 = 0 + 9v u = 0 + 9v Remove the zero: u = 9v Simplifying u = 9vSubproblem 2
Set the factor '(5u + -8v)' equal to zero and attempt to solve: Simplifying 5u + -8v = 0 Solving 5u + -8v = 0 Move all terms containing u to the left, all other terms to the right. Add '8v' to each side of the equation. 5u + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 5u + 0 = 0 + 8v 5u = 0 + 8v Remove the zero: 5u = 8v Divide each side by '5'. u = 1.6v Simplifying u = 1.6vSolution
u = {9v, 1.6v}
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