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Simplifying 15u3 + 39u2 + 18u = 0 Reorder the terms: 18u + 39u2 + 15u3 = 0 Solving 18u + 39u2 + 15u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3u'. 3u(6 + 13u + 5u2) = 0 Factor a trinomial. 3u((2 + u)(3 + 5u)) = 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 '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 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 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Subproblem 3
Set the factor '(3 + 5u)' equal to zero and attempt to solve: Simplifying 3 + 5u = 0 Solving 3 + 5u = 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 + 5u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5u = 0 + -3 5u = 0 + -3 Combine like terms: 0 + -3 = -3 5u = -3 Divide each side by '5'. u = -0.6 Simplifying u = -0.6Solution
u = {0, -2, -0.6}
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