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Simplifying 12u5 + -16u4 + -28u3 = 0 Reorder the terms: -28u3 + -16u4 + 12u5 = 0 Solving -28u3 + -16u4 + 12u5 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4u3'. 4u3(-7 + -4u + 3u2) = 0 Factor a trinomial. 4u3((-1 + -1u)(7 + -3u)) = 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 '(-1 + -1u)' equal to zero and attempt to solve: Simplifying -1 + -1u = 0 Solving -1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1u = 0 + 1 -1u = 0 + 1 Combine like terms: 0 + 1 = 1 -1u = 1 Divide each side by '-1'. u = -1 Simplifying u = -1Subproblem 3
Set the factor '(7 + -3u)' equal to zero and attempt to solve: Simplifying 7 + -3u = 0 Solving 7 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3u = 0 + -7 -3u = 0 + -7 Combine like terms: 0 + -7 = -7 -3u = -7 Divide each side by '-3'. u = 2.333333333 Simplifying u = 2.333333333Solution
u = {-1, 2.333333333}
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