n^2+2n+72=0

Solution for n^2+2n+72=0 equation:

Simplifying
n2 + 2n + 72 = 0

Reorder the terms:
72 + 2n + n2 = 0

Solving
72 + 2n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + 2n + -72 + n2 = 0 + -72

Reorder the terms:
72 + -72 + 2n + n2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 2n + n2 = 0 + -72
2n + n2 = 0 + -72

Combine like terms: 0 + -72 = -72
2n + n2 = -72

The n term is 2n.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2n + 1 + n2 = -72 + 1

Reorder the terms:
1 + 2n + n2 = -72 + 1

Combine like terms: -72 + 1 = -71
1 + 2n + n2 = -71

Factor a perfect square on the left side:
(n + 1)(n + 1) = -71

Can't calculate square root of the right side.

The solution to this equation could not be determined.