14u^2-u^3+32u=0

Solution for 14u^2-u^3+32u=0 equation:

Simplifying
14u2 + -1u3 + 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)) = 0

Subproblem 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 = 0
Subproblem 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 = 16
Subproblem 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 = -2
Solution
u = {0, 16, -2}