x^2-5y^2=10

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Solution for x^2-5y^2=10 equation: 


Simplifying
x2 + -5y2 = 10

Solving
x2 + -5y2 = 10

Solving for variable 'x'.

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

Add '5y2' to each side of the equation.
x2 + -5y2 + 5y2 = 10 + 5y2

Combine like terms: -5y2 + 5y2 = 0
x2 + 0 = 10 + 5y2
x2 = 10 + 5y2

Simplifying
x2 = 10 + 5y2

Reorder the terms:
-10 + x2 + -5y2 = 10 + 5y2 + -10 + -5y2

Reorder the terms:
-10 + x2 + -5y2 = 10 + -10 + 5y2 + -5y2

Combine like terms: 10 + -10 = 0
-10 + x2 + -5y2 = 0 + 5y2 + -5y2
-10 + x2 + -5y2 = 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
-10 + x2 + -5y2 = 0

The solution to this equation could not be determined.

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