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Simplifying 4u2 + -56uv + 180v2 = 0 Reorder the terms: -56uv + 4u2 + 180v2 = 0 Solving -56uv + 4u2 + 180v2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4'. 4(-14uv + u2 + 45v2) = 0 Factor a trinomial. 4((u + -9v)(u + -5v)) = 0 Ignore the factor 4.Subproblem 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 '(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 = 5vSolution
u = {9v, 5v}
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