n^2+2n+24=0

Solution for n^2+2n+24=0 equation:

Simplifying
n2 + 2n + 24 = 0

Reorder the terms:
24 + 2n + n2 = 0

Solving
24 + 2n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + 2n + -24 + n2 = 0 + -24

Reorder the terms:
24 + -24 + 2n + n2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 2n + n2 = 0 + -24
2n + n2 = 0 + -24

Combine like terms: 0 + -24 = -24
2n + n2 = -24

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 = -24 + 1

Reorder the terms:
1 + 2n + n2 = -24 + 1

Combine like terms: -24 + 1 = -23
1 + 2n + n2 = -23

Factor a perfect square on the left side:
(n + 1)(n + 1) = -23

Can't calculate square root of the right side.

The solution to this equation could not be determined.