n^2+2n+35=0

Solution for n^2+2n+35=0 equation:

Simplifying
n2 + 2n + 35 = 0

Reorder the terms:
35 + 2n + n2 = 0

Solving
35 + 2n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + 2n + -35 + n2 = 0 + -35

Reorder the terms:
35 + -35 + 2n + n2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 2n + n2 = 0 + -35
2n + n2 = 0 + -35

Combine like terms: 0 + -35 = -35
2n + n2 = -35

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 = -35 + 1

Reorder the terms:
1 + 2n + n2 = -35 + 1

Combine like terms: -35 + 1 = -34
1 + 2n + n2 = -34

Factor a perfect square on the left side:
(n + 1)(n + 1) = -34

Can't calculate square root of the right side.

The solution to this equation could not be determined.