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Simplifying 12u6 + -40u5 + -32u4 = 0 Reorder the terms: -32u4 + -40u5 + 12u6 = 0 Solving -32u4 + -40u5 + 12u6 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4u4'. 4u4(-8 + -10u + 3u2) = 0 Factor a trinomial. 4u4((-2 + -3u)(4 + -1u)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'u4' equal to zero and attempt to solve: Simplifying u4 = 0 Solving u4 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u4 = 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 '(-2 + -3u)' equal to zero and attempt to solve: Simplifying -2 + -3u = 0 Solving -2 + -3u = 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 + -3u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3u = 0 + 2 -3u = 0 + 2 Combine like terms: 0 + 2 = 2 -3u = 2 Divide each side by '-3'. u = -0.6666666667 Simplifying u = -0.6666666667Subproblem 3
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 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 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {-0.6666666667, 4}
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