27u^4-u=0

Solution for 27u^4-u=0 equation:

Simplifying
27u4 + -1u = 0

Reorder the terms:
-1u + 27u4 = 0

Solving
-1u + 27u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-1 + 27u3) = 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 '(-1 + 27u3)' equal to zero and attempt to solve:

Simplifying
-1 + 27u3 = 0

Solving
-1 + 27u3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 27u3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 27u3 = 0 + 1
27u3 = 0 + 1

Combine like terms: 0 + 1 = 1
27u3 = 1

Divide each side by '27'.
u3 = 0.03703703704

Simplifying
u3 = 0.03703703704

The solution to this equation could not be determined.

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