u^2-100u+2304=0

Solution for u^2-100u+2304=0 equation:

Simplifying
u2 + -100u + 2304 = 0

Reorder the terms:
2304 + -100u + u2 = 0

Solving
2304 + -100u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(36 + -1u)(64 + -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 '(64 + -1u)' equal to zero and attempt to solve:

Simplifying
64 + -1u = 0

Solving
64 + -1u = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1u = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1u = 0 + -64
-1u = 0 + -64

Combine like terms: 0 + -64 = -64
-1u = -64

Divide each side by '-1'.
u = 64

Simplifying
u = 64
Solution
u = {36, 64}