36u=9u^2

Solution for 36u=9u^2 equation:

Simplifying
36u = 9u2

Solving
36u = 9u2

Solving for variable 'u'.

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

Factor out the Greatest Common Factor (GCF), '9u'.
9u(4 + -1u) = 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 '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

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

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

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {0, 4}