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Simplifying 15u3 + 25u2 + -60u = 0 Reorder the terms: -60u + 25u2 + 15u3 = 0 Solving -60u + 25u2 + 15u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u'. 5u(-12 + 5u + 3u2) = 0 Factor a trinomial. 5u((-3 + -1u)(4 + -3u)) = 0 Ignore the factor 5.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 + -1u)' equal to zero and attempt to solve: Simplifying -3 + -1u = 0 Solving -3 + -1u = 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 + -1u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1u = 0 + 3 -1u = 0 + 3 Combine like terms: 0 + 3 = 3 -1u = 3 Divide each side by '-1'. u = -3 Simplifying u = -3Subproblem 3
Set the factor '(4 + -3u)' equal to zero and attempt to solve: Simplifying 4 + -3u = 0 Solving 4 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3u = 0 + -4 -3u = 0 + -4 Combine like terms: 0 + -4 = -4 -3u = -4 Divide each side by '-3'. u = 1.333333333 Simplifying u = 1.333333333Solution
u = {0, -3, 1.333333333}
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