n^2+12n+42=0

Solution for n^2+12n+42=0 equation:

Simplifying
n2 + 12n + 42 = 0

Reorder the terms:
42 + 12n + n2 = 0

Solving
42 + 12n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + 12n + -42 + n2 = 0 + -42

Reorder the terms:
42 + -42 + 12n + n2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 12n + n2 = 0 + -42
12n + n2 = 0 + -42

Combine like terms: 0 + -42 = -42
12n + n2 = -42

The n term is 12n.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12n + 36 + n2 = -42 + 36

Reorder the terms:
36 + 12n + n2 = -42 + 36

Combine like terms: -42 + 36 = -6
36 + 12n + n2 = -6

Factor a perfect square on the left side:
(n + 6)(n + 6) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.