s^2-2hs-2h^2=0

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


Simplifying
s2 + -2hs + -2h2 = 0

Reorder the terms:
-2hs + -2h2 + s2 = 0

Solving
-2hs + -2h2 + s2 = 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'.
hs + h2 + -0.5s2 = 0

Move the constant term to the right:

Add '-1s2' to each side of the equation.
hs + h2 + -0.5s2 + -1s2 = 0 + -1s2

Combine like terms: -0.5s2 + -1s2 = -1.5s2
hs + h2 + -1.5s2 = 0 + -1s2
Remove the zero:
hs + h2 + -1.5s2 = -1s2

The h term is hs.  Take half its coefficient (0.5s).
Square it (0.25s2) and add it to both sides.

Add '0.25s2' to each side of the equation.
s2 + h2 + -1.5s2 + 0.25s2 = -1s2 + 0.25s2

Reorder the terms:
h2 + s2 + -1.5s2 + 0.25s2 = -1s2 + 0.25s2

Combine like terms: s2 + -1.5s2 = -0.5s2
h2 + -0.5s2 + 0.25s2 = -1s2 + 0.25s2

Combine like terms: -0.5s2 + 0.25s2 = -0.25s2
h2 + -0.25s2 = -1s2 + 0.25s2

Combine like terms: -1s2 + 0.25s2 = -0.75s2
h2 + -0.25s2 = -0.75s2

Factor a perfect square on the left side:
(h + 0.5s)(h + 0.5s) = -0.75s2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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