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.
(35 + u)(1 + u) = 0

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

Simplifying
35 + u = 0

Solving
35 + u = 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 + u = 0 + -35

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

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

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

Simplifying
1 + u = 0

Solving
1 + u = 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 + u = 0 + -1

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

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

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