x^2+cy^2=1

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Solution for x^2+cy^2=1 equation: 


Simplifying
x2 + cy2 = 1

Reorder the terms:
cy2 + x2 = 1

Solving
cy2 + x2 = 1

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
cy2 + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
cy2 + 0 = 1 + -1x2
cy2 = 1 + -1x2

Divide each side by 'y2'.
c = y-2 + -1x2y-2

Simplifying
c = y-2 + -1x2y-2

Reorder the terms:
c = -1x2y-2 + y-2

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