3h^2+6h+6=0

Solution for 3h^2+6h+6=0 equation:

Simplifying
3h2 + 6h + 6 = 0

Reorder the terms:
6 + 6h + 3h2 = 0

Solving
6 + 6h + 3h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 2h + h2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + 2h + h2)' equal to zero and attempt to solve:

Simplifying
2 + 2h + h2 = 0

Solving
2 + 2h + h2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -2 + 1

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

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

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.