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Simplifying 15u4 + 2u3 + -1u2 = 0 Reorder the terms: -1u2 + 2u3 + 15u4 = 0 Solving -1u2 + 2u3 + 15u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u2'. u2(-1 + 2u + 15u2) = 0 Factor a trinomial. u2((-1 + -3u)(1 + -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 '(-1 + -3u)' equal to zero and attempt to solve: Simplifying -1 + -3u = 0 Solving -1 + -3u = 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 + -3u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3u = 0 + 1 -3u = 0 + 1 Combine like terms: 0 + 1 = 1 -3u = 1 Divide each side by '-3'. u = -0.3333333333 Simplifying u = -0.3333333333Subproblem 3
Set the factor '(1 + -5u)' equal to zero and attempt to solve: Simplifying 1 + -5u = 0 Solving 1 + -5u = 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 + -5u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5u = 0 + -1 -5u = 0 + -1 Combine like terms: 0 + -1 = -1 -5u = -1 Divide each side by '-5'. u = 0.2 Simplifying u = 0.2Solution
u = {0, -0.3333333333, 0.2}
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