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Simplifying 12u3 + -9u = 0 Reorder the terms: -9u + 12u3 = 0 Solving -9u + 12u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3u'. 3u(-3 + 4u2) = 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 '(-3 + 4u2)' equal to zero and attempt to solve: Simplifying -3 + 4u2 = 0 Solving -3 + 4u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4u2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4u2 = 0 + 3 4u2 = 0 + 3 Combine like terms: 0 + 3 = 3 4u2 = 3 Divide each side by '4'. u2 = 0.75 Simplifying u2 = 0.75 Take the square root of each side: u = {-0.866025404, 0.866025404}Solution
u = {0, -0.866025404, 0.866025404}
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