u^2-52u+576=0

Solution for u^2-52u+576=0 equation:

Simplifying
u2 + -52u + 576 = 0

Reorder the terms:
576 + -52u + u2 = 0

Solving
576 + -52u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(16 + -1u)(36 + -1u) = 0

Subproblem 1
Set the factor '(16 + -1u)' equal to zero and attempt to solve:

Simplifying
16 + -1u = 0

Solving
16 + -1u = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1u = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1u = 0 + -16
-1u = 0 + -16

Combine like terms: 0 + -16 = -16
-1u = -16

Divide each side by '-1'.
u = 16

Simplifying
u = 16
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 = {16, 36}