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Simplifying 10u5 + 34u4 + 12u3 = 0 Reorder the terms: 12u3 + 34u4 + 10u5 = 0 Solving 12u3 + 34u4 + 10u5 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u3'. 2u3(6 + 17u + 5u2) = 0 Factor a trinomial. 2u3((3 + u)(2 + 5u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'u3' equal to zero and attempt to solve: Simplifying u3 = 0 Solving u3 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + u)' equal to zero and attempt to solve: Simplifying 3 + u = 0 Solving 3 + u = 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 + u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + u = 0 + -3 u = 0 + -3 Combine like terms: 0 + -3 = -3 u = -3 Simplifying u = -3Subproblem 3
Set the factor '(2 + 5u)' equal to zero and attempt to solve: Simplifying 2 + 5u = 0 Solving 2 + 5u = 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 + 5u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5u = 0 + -2 5u = 0 + -2 Combine like terms: 0 + -2 = -2 5u = -2 Divide each side by '5'. u = -0.4 Simplifying u = -0.4Solution
u = {-3, -0.4}
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