u^2-41u+180=0

Solution for u^2-41u+180=0 equation:

Simplifying
u2 + -41u + 180 = 0

Reorder the terms:
180 + -41u + u2 = 0

Solving
180 + -41u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(5 + -1u)(36 + -1u) = 0

Subproblem 1
Set the factor '(5 + -1u)' equal to zero and attempt to solve:

Simplifying
5 + -1u = 0

Solving
5 + -1u = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1u = 0 + -5
-1u = 0 + -5

Combine like terms: 0 + -5 = -5
-1u = -5

Divide each side by '-1'.
u = 5

Simplifying
u = 5
Subproblem 2
Set the factor '(36 + -1u)' equal to zero and attempt to solve:

Simplifying
36 + -1u = 0

Solving
36 + -1u = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1u = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1u = 0 + -36
-1u = 0 + -36

Combine like terms: 0 + -36 = -36
-1u = -36

Divide each side by '-1'.
u = 36

Simplifying
u = 36
Solution
u = {5, 36}