n^2+12n+67=3

Solution for n^2+12n+67=3 equation:

Simplifying
n2 + 12n + 67 = 3

Reorder the terms:
67 + 12n + n2 = 3

Solving
67 + 12n + n2 = 3

Solving for variable 'n'.

Reorder the terms:
67 + -3 + 12n + n2 = 3 + -3

Combine like terms: 67 + -3 = 64
64 + 12n + n2 = 3 + -3

Combine like terms: 3 + -3 = 0
64 + 12n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 12n + -64 + n2 = 0 + -64

Reorder the terms:
64 + -64 + 12n + n2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 12n + n2 = 0 + -64
12n + n2 = 0 + -64

Combine like terms: 0 + -64 = -64
12n + n2 = -64

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 = -64 + 36

Reorder the terms:
36 + 12n + n2 = -64 + 36

Combine like terms: -64 + 36 = -28
36 + 12n + n2 = -28

Factor a perfect square on the left side:
(n + 6)(n + 6) = -28

Can't calculate square root of the right side.

The solution to this equation could not be determined.