n^2+6n+22=2

Solution for n^2+6n+22=2 equation:

Simplifying
n2 + 6n + 22 = 2

Reorder the terms:
22 + 6n + n2 = 2

Solving
22 + 6n + n2 = 2

Solving for variable 'n'.

Reorder the terms:
22 + -2 + 6n + n2 = 2 + -2

Combine like terms: 22 + -2 = 20
20 + 6n + n2 = 2 + -2

Combine like terms: 2 + -2 = 0
20 + 6n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 6n + -20 + n2 = 0 + -20

Reorder the terms:
20 + -20 + 6n + n2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 6n + n2 = 0 + -20
6n + n2 = 0 + -20

Combine like terms: 0 + -20 = -20
6n + n2 = -20

The n term is 6n.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6n + 9 + n2 = -20 + 9

Reorder the terms:
9 + 6n + n2 = -20 + 9

Combine like terms: -20 + 9 = -11
9 + 6n + n2 = -11

Factor a perfect square on the left side:
(n + 3)(n + 3) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.