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Simplifying 7u2 + -33uv + -10v2 = 0 Reorder the terms: -33uv + 7u2 + -10v2 = 0 Solving -33uv + 7u2 + -10v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -5v)(7u + 2v) = 0Subproblem 1
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 = 5vSubproblem 2
Set the factor '(7u + 2v)' equal to zero and attempt to solve: Simplifying 7u + 2v = 0 Solving 7u + 2v = 0 Move all terms containing u to the left, all other terms to the right. Add '-2v' to each side of the equation. 7u + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 7u + 0 = 0 + -2v 7u = 0 + -2v Remove the zero: 7u = -2v Divide each side by '7'. u = -0.2857142857v Simplifying u = -0.2857142857vSolution
u = {5v, -0.2857142857v}
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