x^2+44x+363=0

Solution for x^2+44x+363=0 equation:

Simplifying
x2 + 44x + 363 = 0

Reorder the terms:
363 + 44x + x2 = 0

Solving
363 + 44x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(33 + x)(11 + x) = 0

Subproblem 1
Set the factor '(33 + x)' equal to zero and attempt to solve:

Simplifying
33 + x = 0

Solving
33 + x = 0

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

Add '-33' to each side of the equation.
33 + -33 + x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + x = 0 + -33
x = 0 + -33

Combine like terms: 0 + -33 = -33
x = -33

Simplifying
x = -33
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {-33, -11}