x^2+36x+155=0

Solution for x^2+36x+155=0 equation:

Simplifying
x2 + 36x + 155 = 0

Reorder the terms:
155 + 36x + x2 = 0

Solving
155 + 36x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(31 + x)(5 + x) = 0

Subproblem 1
Set the factor '(31 + x)' equal to zero and attempt to solve:

Simplifying
31 + x = 0

Solving
31 + x = 0

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

Add '-31' to each side of the equation.
31 + -31 + x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + x = 0 + -31
x = 0 + -31

Combine like terms: 0 + -31 = -31
x = -31

Simplifying
x = -31
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-31, -5}