x^2-y^2=42

Solution for x^2-y^2=42 equation:

Simplifying
x2 + -1y2 = 42

Solving
x2 + -1y2 = 42

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
x2 + -1y2 + y2 = 42 + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 = 42 + y2
x2 = 42 + y2

Simplifying
x2 = 42 + y2

Reorder the terms:
-42 + x2 + -1y2 = 42 + y2 + -42 + -1y2

Reorder the terms:
-42 + x2 + -1y2 = 42 + -42 + y2 + -1y2

Combine like terms: 42 + -42 = 0
-42 + x2 + -1y2 = 0 + y2 + -1y2
-42 + x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-42 + x2 + -1y2 = 0

The solution to this equation could not be determined.