n^2+3n+12=6

Solution for n^2+3n+12=6 equation:

Simplifying
n2 + 3n + 12 = 6

Reorder the terms:
12 + 3n + n2 = 6

Solving
12 + 3n + n2 = 6

Solving for variable 'n'.

Reorder the terms:
12 + -6 + 3n + n2 = 6 + -6

Combine like terms: 12 + -6 = 6
6 + 3n + n2 = 6 + -6

Combine like terms: 6 + -6 = 0
6 + 3n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3n + -6 + n2 = 0 + -6

Reorder the terms:
6 + -6 + 3n + n2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3n + n2 = 0 + -6
3n + n2 = 0 + -6

Combine like terms: 0 + -6 = -6
3n + n2 = -6

The n term is 3n.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3n + 2.25 + n2 = -6 + 2.25

Reorder the terms:
2.25 + 3n + n2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + 3n + n2 = -3.75

Factor a perfect square on the left side:
(n + 1.5)(n + 1.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.