u^2-36u+35=0

Solution for u^2-36u+35=0 equation:

Simplifying
u2 + -36u + 35 = 0

Reorder the terms:
35 + -36u + u2 = 0

Solving
35 + -36u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -1u)(35 + -1u) = 0

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

Simplifying
1 + -1u = 0

Solving
1 + -1u = 0

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

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

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

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

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

Simplifying
u = 1
Subproblem 2
Set the factor '(35 + -1u)' equal to zero and attempt to solve:

Simplifying
35 + -1u = 0

Solving
35 + -1u = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1u = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1u = 0 + -35
-1u = 0 + -35

Combine like terms: 0 + -35 = -35
-1u = -35

Divide each side by '-1'.
u = 35

Simplifying
u = 35
Solution
u = {1, 35}