h^2=2h^2-h+2

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

Simplifying
h2 = 2h2 + -1h + 2

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

Solving
h2 = 2 + -1h + 2h2

Solving for variable 'h'.

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

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

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

Combine like terms: 2 + -2 = 0
-2 + h + -1h2 = 0 + -1h + h + 2h2 + -2h2
-2 + h + -1h2 = -1h + h + 2h2 + -2h2

Combine like terms: -1h + h = 0
-2 + h + -1h2 = 0 + 2h2 + -2h2
-2 + h + -1h2 = 2h2 + -2h2

Combine like terms: 2h2 + -2h2 = 0
-2 + h + -1h2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -1h + h2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1h + -2 + h2 = 0 + -2

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

Combine like terms: 2 + -2 = 0
0 + -1h + h2 = 0 + -2
-1h + h2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1h + h2 = -2

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

Add '0.25' to each side of the equation.
-1h + 0.25 + h2 = -2 + 0.25

Reorder the terms:
0.25 + -1h + h2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + -1h + h2 = -1.75

Factor a perfect square on the left side:
(h + 0.5)(h + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.