49x^2-100y^2=0

Solution for 49x^2-100y^2=0 equation:

Simplifying
49x2 + -100y2 = 0

Solving
49x2 + -100y2 = 0

Solving for variable 'x'.

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

Add '100y2' to each side of the equation.
49x2 + -100y2 + 100y2 = 0 + 100y2

Combine like terms: -100y2 + 100y2 = 0
49x2 + 0 = 0 + 100y2
49x2 = 0 + 100y2
Remove the zero:
49x2 = 100y2

Divide each side by '49'.
x2 = 2.040816327y2

Simplifying
x2 = 2.040816327y2

Take the square root of each side:
x = {-1.428571429y, 1.428571429y}