8h^2+6h+1224=0

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Solution for 8h^2+6h+1224=0 equation: 


Simplifying
8h2 + 6h + 1224 = 0

Reorder the terms:
1224 + 6h + 8h2 = 0

Solving
1224 + 6h + 8h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(612 + 3h + 4h2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(612 + 3h + 4h2)' equal to zero and attempt to solve:

Simplifying
612 + 3h + 4h2 = 0

Solving
612 + 3h + 4h2 = 0

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

Divide each side by '4'.
153 + 0.75h + h2 = 0

Move the constant term to the right:

Add '-153' to each side of the equation.
153 + 0.75h + -153 + h2 = 0 + -153

Reorder the terms:
153 + -153 + 0.75h + h2 = 0 + -153

Combine like terms: 153 + -153 = 0
0 + 0.75h + h2 = 0 + -153
0.75h + h2 = 0 + -153

Combine like terms: 0 + -153 = -153
0.75h + h2 = -153

The h term is 0.75h.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75h + 0.140625 + h2 = -153 + 0.140625

Reorder the terms:
0.140625 + 0.75h + h2 = -153 + 0.140625

Combine like terms: -153 + 0.140625 = -152.859375
0.140625 + 0.75h + h2 = -152.859375

Factor a perfect square on the left side:
(h + 0.375)(h + 0.375) = -152.859375

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.

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