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Simplifying 9u2 + 12uv + 4v2 = 0 Reorder the terms: 12uv + 9u2 + 4v2 = 0 Solving 12uv + 9u2 + 4v2 = 0 Solving for variable 'u'. Factor a trinomial. (3u + 2v)(3u + 2v) = 0Subproblem 1
Set the factor '(3u + 2v)' equal to zero and attempt to solve: Simplifying 3u + 2v = 0 Solving 3u + 2v = 0 Move all terms containing u to the left, all other terms to the right. Add '-2v' to each side of the equation. 3u + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 3u + 0 = 0 + -2v 3u = 0 + -2v Remove the zero: 3u = -2v Divide each side by '3'. u = -0.6666666667v Simplifying u = -0.6666666667vSubproblem 2
Set the factor '(3u + 2v)' equal to zero and attempt to solve: Simplifying 3u + 2v = 0 Solving 3u + 2v = 0 Move all terms containing u to the left, all other terms to the right. Add '-2v' to each side of the equation. 3u + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 3u + 0 = 0 + -2v 3u = 0 + -2v Remove the zero: 3u = -2v Divide each side by '3'. u = -0.6666666667v Simplifying u = -0.6666666667vSolution
u = {-0.6666666667v, -0.6666666667v}
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