u(-u+14u+32)=0

Solution for u(-u+14u+32)=0 equation:

Simplifying
u(-1u + 14u + 32) = 0

Reorder the terms:
u(32 + -1u + 14u) = 0

Combine like terms: -1u + 14u = 13u
u(32 + 13u) = 0
(32 * u + 13u * u) = 0
(32u + 13u2) = 0

Solving
32u + 13u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(32 + 13u) = 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 '(32 + 13u)' equal to zero and attempt to solve:

Simplifying
32 + 13u = 0

Solving
32 + 13u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-32' to each side of the equation.
32 + -32 + 13u = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 13u = 0 + -32
13u = 0 + -32

Combine like terms: 0 + -32 = -32
13u = -32

Divide each side by '13'.
u = -2.461538462

Simplifying
u = -2.461538462
Solution
u = {0, -2.461538462}