2h-h^2-2=0

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


Simplifying
2h + -1h2 + -2 = 0

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

Solving
-2 + 2h + -1h2 = 0

Solving for variable 'h'.

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

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

Move the constant term to the right:

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

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

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

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

The h term is -2h.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

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

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

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

Factor a perfect square on the left side:
(h + -1)(h + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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