4y^2-9x^2=0

Solution for 4y^2-9x^2=0 equation:

Simplifying
4y2 + -9x2 = 0

Reorder the terms:
-9x2 + 4y2 = 0

Solving
-9x2 + 4y2 = 0

Solving for variable 'x'.

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

Add '-4y2' to each side of the equation.
-9x2 + 4y2 + -4y2 = 0 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-9x2 + 0 = 0 + -4y2
-9x2 = 0 + -4y2
Remove the zero:
-9x2 = -4y2

Divide each side by '-9'.
x2 = 0.4444444444y2

Simplifying
x2 = 0.4444444444y2

Take the square root of each side:
x = {-0.666666667y, 0.666666667y}