-x^2-37x-322=0

Solution for -x^2-37x-322=0 equation:

Simplifying
-1x2 + -37x + -322 = 0

Reorder the terms:
-322 + -37x + -1x2 = 0

Solving
-322 + -37x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(322 + 37x + x2) = 0

Factor a trinomial.
-1((23 + x)(14 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(23 + x)' equal to zero and attempt to solve:

Simplifying
23 + x = 0

Solving
23 + x = 0

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

Add '-23' to each side of the equation.
23 + -23 + x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + x = 0 + -23
x = 0 + -23

Combine like terms: 0 + -23 = -23
x = -23

Simplifying
x = -23
Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {-23, -14}