81u^2-36u+4=0

Solution for 81u^2-36u+4=0 equation:

Simplifying
81u2 + -36u + 4 = 0

Reorder the terms:
4 + -36u + 81u2 = 0

Solving
4 + -36u + 81u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2 + -9u)(2 + -9u) = 0

Subproblem 1
Set the factor '(2 + -9u)' equal to zero and attempt to solve:

Simplifying
2 + -9u = 0

Solving
2 + -9u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9u = 0 + -2
-9u = 0 + -2

Combine like terms: 0 + -2 = -2
-9u = -2

Divide each side by '-9'.
u = 0.2222222222

Simplifying
u = 0.2222222222
Subproblem 2
Set the factor '(2 + -9u)' equal to zero and attempt to solve:

Simplifying
2 + -9u = 0

Solving
2 + -9u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9u = 0 + -2
-9u = 0 + -2

Combine like terms: 0 + -2 = -2
-9u = -2

Divide each side by '-9'.
u = 0.2222222222

Simplifying
u = 0.2222222222
Solution
u = {0.2222222222, 0.2222222222}