u^2-85u+1764=0

Solution for u^2-85u+1764=0 equation:

Simplifying
u2 + -85u + 1764 = 0

Reorder the terms:
1764 + -85u + u2 = 0

Solving
1764 + -85u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(36 + -1u)(49 + -1u) = 0

Subproblem 1
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
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 = {36, 49}