x^2+23x+44=2

Solution for x^2+23x+44=2 equation:

Simplifying
x2 + 23x + 44 = 2

Reorder the terms:
44 + 23x + x2 = 2

Solving
44 + 23x + x2 = 2

Solving for variable 'x'.

Reorder the terms:
44 + -2 + 23x + x2 = 2 + -2

Combine like terms: 44 + -2 = 42
42 + 23x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
42 + 23x + x2 = 0

Factor a trinomial.
(21 + x)(2 + x) = 0

Subproblem 1
Set the factor '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-21, -2}