2h^2-h+3=0

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

Simplifying
2h2 + -1h + 3 = 0

Reorder the terms:
3 + -1h + 2h2 = 0

Solving
3 + -1h + 2h2 = 0

Solving for variable 'h'.

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

Divide each side by '2'.
1.5 + -0.5h + h2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.5h + -1.5 + h2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.5h + h2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.5h + h2 = 0 + -1.5
-0.5h + h2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.5h + h2 = -1.5

The h term is -0.5h.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5h + 0.0625 + h2 = -1.5 + 0.0625

Reorder the terms:
0.0625 + -0.5h + h2 = -1.5 + 0.0625

Combine like terms: -1.5 + 0.0625 = -1.4375
0.0625 + -0.5h + h2 = -1.4375

Factor a perfect square on the left side:
(h + -0.25)(h + -0.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.