0=9x^2-4y^2

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


Simplifying
0 = 9x2 + -4y2

Solving
0 = 9x2 + -4y2

Solving for variable 'x'.

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

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

Combine like terms: 9x2 + -9x2 = 0
-9x2 = 0 + -4y2
-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}

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