2y^2-x^2=8

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Solution for 2y^2-x^2=8 equation:


Simplifying
2y2 + -1x2 = 8

Reorder the terms:
-1x2 + 2y2 = 8

Solving
-1x2 + 2y2 = 8

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.
-1x2 + 2y2 + -2y2 = 8 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-1x2 + 0 = 8 + -2y2
-1x2 = 8 + -2y2

Divide each side by '-1'.
x2 = -8 + 2y2

Simplifying
x2 = -8 + 2y2

Reorder the terms:
8 + x2 + -2y2 = -8 + 2y2 + 8 + -2y2

Reorder the terms:
8 + x2 + -2y2 = -8 + 8 + 2y2 + -2y2

Combine like terms: -8 + 8 = 0
8 + x2 + -2y2 = 0 + 2y2 + -2y2
8 + x2 + -2y2 = 2y2 + -2y2

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

The solution to this equation could not be determined.

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