9u^2-85u+36=0

Solution for 9u^2-85u+36=0 equation:

Simplifying
9u2 + -85u + 36 = 0

Reorder the terms:
36 + -85u + 9u2 = 0

Solving
36 + -85u + 9u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(4 + -9u)(9 + -1u) = 0

Subproblem 1
Set the factor '(4 + -9u)' equal to zero and attempt to solve:

Simplifying
4 + -9u = 0

Solving
4 + -9u = 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 + -9u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9u = 0 + -4
-9u = 0 + -4

Combine like terms: 0 + -4 = -4
-9u = -4

Divide each side by '-9'.
u = 0.4444444444

Simplifying
u = 0.4444444444
Subproblem 2
Set the factor '(9 + -1u)' equal to zero and attempt to solve:

Simplifying
9 + -1u = 0

Solving
9 + -1u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1u = 0 + -9
-1u = 0 + -9

Combine like terms: 0 + -9 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9
Solution
u = {0.4444444444, 9}