u^2-53u+196=0

Solution for u^2-53u+196=0 equation:

Simplifying
u2 + -53u + 196 = 0

Reorder the terms:
196 + -53u + u2 = 0

Solving
196 + -53u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(4 + -1u)(49 + -1u) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(49 + -1u)' equal to zero and attempt to solve:

Simplifying
49 + -1u = 0

Solving
49 + -1u = 0

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

Add '-49' to each side of the equation.
49 + -49 + -1u = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1u = 0 + -49
-1u = 0 + -49

Combine like terms: 0 + -49 = -49
-1u = -49

Divide each side by '-1'.
u = 49

Simplifying
u = 49
Solution
u = {4, 49}