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Simplifying 5u4 + 27u3 + -18u2 = 0 Reorder the terms: -18u2 + 27u3 + 5u4 = 0 Solving -18u2 + 27u3 + 5u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u2'. u2(-18 + 27u + 5u2) = 0 Factor a trinomial. u2((-6 + -1u)(3 + -5u)) = 0Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}Subproblem 2
Set the factor '(-6 + -1u)' equal to zero and attempt to solve: Simplifying -6 + -1u = 0 Solving -6 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1u = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1u = 0 + 6 -1u = 0 + 6 Combine like terms: 0 + 6 = 6 -1u = 6 Divide each side by '-1'. u = -6 Simplifying u = -6Subproblem 3
Set the factor '(3 + -5u)' equal to zero and attempt to solve: Simplifying 3 + -5u = 0 Solving 3 + -5u = 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 + -5u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5u = 0 + -3 -5u = 0 + -3 Combine like terms: 0 + -3 = -3 -5u = -3 Divide each side by '-5'. u = 0.6 Simplifying u = 0.6Solution
u = {0, -6, 0.6}
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