x^2+78x+365=0

Solution for x^2+78x+365=0 equation:

Simplifying
x2 + 78x + 365 = 0

Reorder the terms:
365 + 78x + x2 = 0

Solving
365 + 78x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(73 + x)' equal to zero and attempt to solve:

Simplifying
73 + x = 0

Solving
73 + x = 0

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

Add '-73' to each side of the equation.
73 + -73 + x = 0 + -73

Combine like terms: 73 + -73 = 0
0 + x = 0 + -73
x = 0 + -73

Combine like terms: 0 + -73 = -73
x = -73

Simplifying
x = -73
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 = {-73, -5}