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Simplifying 18u2 + -3uv = 0 Reorder the terms: -3uv + 18u2 = 0 Solving -3uv + 18u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3u'. 3u(-1v + 6u) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(-1v + 6u)' equal to zero and attempt to solve: Simplifying -1v + 6u = 0 Reorder the terms: 6u + -1v = 0 Solving 6u + -1v = 0 Move all terms containing u to the left, all other terms to the right. Add 'v' to each side of the equation. 6u + -1v + v = 0 + v Combine like terms: -1v + v = 0 6u + 0 = 0 + v 6u = 0 + v Remove the zero: 6u = v Divide each side by '6'. u = 0.1666666667v Simplifying u = 0.1666666667vSolution
u = {0, 0.1666666667v}
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