x^2+77x+360=0

Solution for x^2+77x+360=0 equation:

Simplifying
x2 + 77x + 360 = 0

Reorder the terms:
360 + 77x + x2 = 0

Solving
360 + 77x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(72 + x)' equal to zero and attempt to solve:

Simplifying
72 + x = 0

Solving
72 + x = 0

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

Add '-72' to each side of the equation.
72 + -72 + x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + x = 0 + -72
x = 0 + -72

Combine like terms: 0 + -72 = -72
x = -72

Simplifying
x = -72
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 = {-72, -5}