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Simplifying -1u3 + 14u2 + 32u = 0 Reorder the terms: 32u + 14u2 + -1u3 = 0 Solving 32u + 14u2 + -1u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(32 + 14u + -1u2) = 0 Factor a trinomial. u((16 + -1u)(2 + u)) = 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 '(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 = 16Subproblem 3
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 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 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Solution
u = {0, 16, -2}
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