8h^2+8=-6-9h

Solution for 8h^2+8=-6-9h equation:

Simplifying
8h2 + 8 = -6 + -9h

Reorder the terms:
8 + 8h2 = -6 + -9h

Solving
8 + 8h2 = -6 + -9h

Solving for variable 'h'.

Reorder the terms:
8 + 6 + 9h + 8h2 = -6 + -9h + 6 + 9h

Combine like terms: 8 + 6 = 14
14 + 9h + 8h2 = -6 + -9h + 6 + 9h

Reorder the terms:
14 + 9h + 8h2 = -6 + 6 + -9h + 9h

Combine like terms: -6 + 6 = 0
14 + 9h + 8h2 = 0 + -9h + 9h
14 + 9h + 8h2 = -9h + 9h

Combine like terms: -9h + 9h = 0
14 + 9h + 8h2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
1.75 + 1.125h + h2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + 1.125h + -1.75 + h2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + 1.125h + h2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + 1.125h + h2 = 0 + -1.75
1.125h + h2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
1.125h + h2 = -1.75

The h term is 1.125h.  Take half its coefficient (0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
1.125h + 0.31640625 + h2 = -1.75 + 0.31640625

Reorder the terms:
0.31640625 + 1.125h + h2 = -1.75 + 0.31640625

Combine like terms: -1.75 + 0.31640625 = -1.43359375
0.31640625 + 1.125h + h2 = -1.43359375

Factor a perfect square on the left side:
(h + 0.5625)(h + 0.5625) = -1.43359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.