=49x^2-y^2

Solution for =49x^2-y^2 equation:

Simplifying
0 = 49x2 + -1y2

Solving
0 = 49x2 + -1y2

Solving for variable 'x'.

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

Add '-49x2' to each side of the equation.
0 + -49x2 = 49x2 + -49x2 + -1y2
Remove the zero:
-49x2 = 49x2 + -49x2 + -1y2

Combine like terms: 49x2 + -49x2 = 0
-49x2 = 0 + -1y2
-49x2 = -1y2

Divide each side by '-49'.
x2 = 0.02040816327y2

Simplifying
x2 = 0.02040816327y2

Take the square root of each side:
x = {-0.142857143y, 0.142857143y}