u^2-221u+12100=0

Solution for u^2-221u+12100=0 equation:

Simplifying
u2 + -221u + 12100 = 0

Reorder the terms:
12100 + -221u + u2 = 0

Solving
12100 + -221u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(100 + -1u)(121 + -1u) = 0

Subproblem 1
Set the factor '(100 + -1u)' equal to zero and attempt to solve:

Simplifying
100 + -1u = 0

Solving
100 + -1u = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1u = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1u = 0 + -100
-1u = 0 + -100

Combine like terms: 0 + -100 = -100
-1u = -100

Divide each side by '-1'.
u = 100

Simplifying
u = 100
Subproblem 2
Set the factor '(121 + -1u)' equal to zero and attempt to solve:

Simplifying
121 + -1u = 0

Solving
121 + -1u = 0

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

Add '-121' to each side of the equation.
121 + -121 + -1u = 0 + -121

Combine like terms: 121 + -121 = 0
0 + -1u = 0 + -121
-1u = 0 + -121

Combine like terms: 0 + -121 = -121
-1u = -121

Divide each side by '-1'.
u = 121

Simplifying
u = 121
Solution
u = {100, 121}