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Simplifying 9u2v4 + 9uv4 + 2v4 = 0 Reorder the terms: 9uv4 + 9u2v4 + 2v4 = 0 Solving 9uv4 + 9u2v4 + 2v4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'v4'. v4(9u + 9u2 + 2) = 0 Factor a trinomial. v4((3u + 1)(3u + 2)) = 0Subproblem 1
Set the factor 'v4' equal to zero and attempt to solve: Simplifying v4 = 0 Solving v4 = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v4' to each side of the equation. v4 + -1v4 = 0 + -1v4 Remove the zero: 0 = -1v4 Simplifying 0 = -1v4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3u + 1)' equal to zero and attempt to solve: Simplifying 3u + 1 = 0 Reorder the terms: 1 + 3u = 0 Solving 1 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3u = 0 + -1 3u = 0 + -1 Combine like terms: 0 + -1 = -1 3u = -1 Divide each side by '3'. u = -0.3333333333 Simplifying u = -0.3333333333Subproblem 3
Set the factor '(3u + 2)' equal to zero and attempt to solve: Simplifying 3u + 2 = 0 Reorder the terms: 2 + 3u = 0 Solving 2 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3u = 0 + -2 3u = 0 + -2 Combine like terms: 0 + -2 = -2 3u = -2 Divide each side by '3'. u = -0.6666666667 Simplifying u = -0.6666666667Solution
u = {-0.3333333333, -0.6666666667}
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