24x^2(y^2)-42y^2+9y^2=0

Solution for 24x^2(y^2)-42y^2+9y^2=0 equation:

Simplifying
24x2(y2) + -42y2 + 9y2 = 0

Multiply x2 * y2
24x2y2 + -42y2 + 9y2 = 0

Combine like terms: -42y2 + 9y2 = -33y2
24x2y2 + -33y2 = 0

Solving
24x2y2 + -33y2 = 0

Solving for variable 'x'.

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

Add '33y2' to each side of the equation.
24x2y2 + -33y2 + 33y2 = 0 + 33y2

Combine like terms: -33y2 + 33y2 = 0
24x2y2 + 0 = 0 + 33y2
24x2y2 = 0 + 33y2
Remove the zero:
24x2y2 = 33y2

Divide each side by '24y2'.
x2 = 1.375

Simplifying
x2 = 1.375

Take the square root of each side:
x = {-1.17260394, 1.17260394}