h^2+2h+11=0

Solution for h^2+2h+11=0 equation:

Simplifying
h2 + 2h + 11 = 0

Reorder the terms:
11 + 2h + h2 = 0

Solving
11 + 2h + h2 = 0

Solving for variable 'h'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 2h + -11 + h2 = 0 + -11

Reorder the terms:
11 + -11 + 2h + h2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2h + h2 = 0 + -11
2h + h2 = 0 + -11

Combine like terms: 0 + -11 = -11
2h + h2 = -11

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

Add '1' to each side of the equation.
2h + 1 + h2 = -11 + 1

Reorder the terms:
1 + 2h + h2 = -11 + 1

Combine like terms: -11 + 1 = -10
1 + 2h + h2 = -10

Factor a perfect square on the left side:
(h + 1)(h + 1) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.