4h^2-3h+2=0

Solution for 4h^2-3h+2=0 equation:

Simplifying
4h2 + -3h + 2 = 0

Reorder the terms:
2 + -3h + 4h2 = 0

Solving
2 + -3h + 4h2 = 0

Solving for variable 'h'.

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

Divide each side by '4'.
0.5 + -0.75h + h2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.75h + -0.5 + h2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.75h + h2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.75h + h2 = 0 + -0.5
-0.75h + h2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.75h + h2 = -0.5

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 = -0.5 + 0.140625

Reorder the terms:
0.140625 + -0.75h + h2 = -0.5 + 0.140625

Combine like terms: -0.5 + 0.140625 = -0.359375
0.140625 + -0.75h + h2 = -0.359375

Factor a perfect square on the left side:
(h + -0.375)(h + -0.375) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.