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Simplifying 12u5 + -4u4 + -40u3 = 0 Reorder the terms: -40u3 + -4u4 + 12u5 = 0 Solving -40u3 + -4u4 + 12u5 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4u3'. 4u3(-10 + -1u + 3u2) = 0 Factor a trinomial. 4u3((-5 + -3u)(2 + -1u)) = 0 Ignore the factor 4.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 '(-5 + -3u)' equal to zero and attempt to solve: Simplifying -5 + -3u = 0 Solving -5 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3u = 0 + 5 -3u = 0 + 5 Combine like terms: 0 + 5 = 5 -3u = 5 Divide each side by '-3'. u = -1.666666667 Simplifying u = -1.666666667Subproblem 3
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 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 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {-1.666666667, 2}
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