u^2-34u+225=0

Solution for u^2-34u+225=0 equation:

Simplifying
u2 + -34u + 225 = 0

Reorder the terms:
225 + -34u + u2 = 0

Solving
225 + -34u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + -1u)(25 + -1u) = 0

Subproblem 1
Set the factor '(9 + -1u)' equal to zero and attempt to solve:

Simplifying
9 + -1u = 0

Solving
9 + -1u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1u = 0 + -9
-1u = 0 + -9

Combine like terms: 0 + -9 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9
Subproblem 2
Set the factor '(25 + -1u)' equal to zero and attempt to solve:

Simplifying
25 + -1u = 0

Solving
25 + -1u = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1u = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1u = 0 + -25
-1u = 0 + -25

Combine like terms: 0 + -25 = -25
-1u = -25

Divide each side by '-1'.
u = 25

Simplifying
u = 25
Solution
u = {9, 25}