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Simplifying 4u6 + -6u5 + -18u4 = 0 Reorder the terms: -18u4 + -6u5 + 4u6 = 0 Solving -18u4 + -6u5 + 4u6 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u4'. 2u4(-9 + -3u + 2u2) = 0 Factor a trinomial. 2u4((-3 + -2u)(3 + -1u)) = 0 Ignore the factor 2.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 '(-3 + -2u)' equal to zero and attempt to solve: Simplifying -3 + -2u = 0 Solving -3 + -2u = 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 + -2u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2u = 0 + 3 -2u = 0 + 3 Combine like terms: 0 + 3 = 3 -2u = 3 Divide each side by '-2'. u = -1.5 Simplifying u = -1.5Subproblem 3
Set the factor '(3 + -1u)' equal to zero and attempt to solve: Simplifying 3 + -1u = 0 Solving 3 + -1u = 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 + -1u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 0 + -3 -1u = 0 + -3 Combine like terms: 0 + -3 = -3 -1u = -3 Divide each side by '-1'. u = 3 Simplifying u = 3Solution
u = {-1.5, 3}
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