u^3=14u^3+32u

Solution for u^3=14u^3+32u equation:

Simplifying
u3 = 14u3 + 32u

Reorder the terms:
u3 = 32u + 14u3

Solving
u3 = 32u + 14u3

Solving for variable 'u'.

Reorder the terms:
-32u + u3 + -14u3 = 32u + 14u3 + -32u + -14u3

Combine like terms: u3 + -14u3 = -13u3
-32u + -13u3 = 32u + 14u3 + -32u + -14u3

Reorder the terms:
-32u + -13u3 = 32u + -32u + 14u3 + -14u3

Combine like terms: 32u + -32u = 0
-32u + -13u3 = 0 + 14u3 + -14u3
-32u + -13u3 = 14u3 + -14u3

Combine like terms: 14u3 + -14u3 = 0
-32u + -13u3 = 0

Factor out the Greatest Common Factor (GCF), '-1u'.
-1u(32 + 13u2) = 0

Ignore the factor -1.
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 + 13u2)' equal to zero and attempt to solve:

Simplifying
32 + 13u2 = 0

Solving
32 + 13u2 = 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 + 13u2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 13u2 = 0 + -32
13u2 = 0 + -32

Combine like terms: 0 + -32 = -32
13u2 = -32

Divide each side by '13'.
u2 = -2.461538462

Simplifying
u2 = -2.461538462

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
u = {0}