x^2+2y^2=1

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


Simplifying
x2 + 2y2 = 1

Solving
x2 + 2y2 = 1

Solving for variable 'x'.

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

Add '-2y2' to each side of the equation.
x2 + 2y2 + -2y2 = 1 + -2y2

Combine like terms: 2y2 + -2y2 = 0
x2 + 0 = 1 + -2y2
x2 = 1 + -2y2

Simplifying
x2 = 1 + -2y2

Reorder the terms:
-1 + x2 + 2y2 = 1 + -2y2 + -1 + 2y2

Reorder the terms:
-1 + x2 + 2y2 = 1 + -1 + -2y2 + 2y2

Combine like terms: 1 + -1 = 0
-1 + x2 + 2y2 = 0 + -2y2 + 2y2
-1 + x2 + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-1 + x2 + 2y2 = 0

The solution to this equation could not be determined.

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