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Simplifying 6u3 + -4u2 = 0 Reorder the terms: -4u2 + 6u3 = 0 Solving -4u2 + 6u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u2'. 2u2(-2 + 3u) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}Subproblem 2
Set the factor '(-2 + 3u)' equal to zero and attempt to solve: Simplifying -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, 0.6666666667}
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