36u^2=9u

Solution for 36u^2=9u equation:

Simplifying
36u2 = 9u

Solving
36u2 = 9u

Solving for variable 'u'.

Reorder the terms:
-9u + 36u2 = 9u + -9u

Combine like terms: 9u + -9u = 0
-9u + 36u2 = 0

Factor out the Greatest Common Factor (GCF), '9u'.
9u(-1 + 4u) = 0

Ignore the factor 9.
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 + 4u)' equal to zero and attempt to solve:

Simplifying
-1 + 4u = 0

Solving
-1 + 4u = 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 + 4u = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4u = 0 + 1
4u = 0 + 1

Combine like terms: 0 + 1 = 1
4u = 1

Divide each side by '4'.
u = 0.25

Simplifying
u = 0.25
Solution
u = {0, 0.25}