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Simplifying u3 + -14u2 + -32u = 0 Reorder the terms: -32u + -14u2 + u3 = 0 Solving -32u + -14u2 + u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(-32 + -14u + u2) = 0 Factor a trinomial. u((-2 + -1u)(16 + -1u)) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(-2 + -1u)' equal to zero and attempt to solve: Simplifying -2 + -1u = 0 Solving -2 + -1u = 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 + -1u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1u = 0 + 2 -1u = 0 + 2 Combine like terms: 0 + 2 = 2 -1u = 2 Divide each side by '-1'. u = -2 Simplifying u = -2Subproblem 3
Set the factor '(16 + -1u)' equal to zero and attempt to solve: Simplifying 16 + -1u = 0 Solving 16 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1u = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1u = 0 + -16 -1u = 0 + -16 Combine like terms: 0 + -16 = -16 -1u = -16 Divide each side by '-1'. u = 16 Simplifying u = 16Solution
u = {0, -2, 16}
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