(3xy*3xy)-(0.25z*0.25z)=0

Solution for (3xy*3xy)-(0.25z*0.25z)=0 equation:

Simplifying
(3xy * 3xy) + -1(0.25z * 0.25z) = 0

Reorder the terms for easier multiplication:
(3 * 3xy * xy) + -1(0.25z * 0.25z) = 0

Multiply 3 * 3
(9xy * xy) + -1(0.25z * 0.25z) = 0

Multiply xy * xy
(9x2y2) + -1(0.25z * 0.25z) = 0

Reorder the terms for easier multiplication:
(9x2y2) + -1(0.25 * 0.25z * z) = 0

Multiply 0.25 * 0.25
(9x2y2) + -1(0.0625z * z) = 0

Multiply z * z
(9x2y2) + -1(0.0625z2) = 0

Remove parenthesis around (0.0625z2)
(9x2y2) + -1 * 0.0625z2 = 0

Multiply -1 * 0.0625
(9x2y2) + -0.0625z2 = 0

Solving
(9x2y2) + -0.0625z2 = 0

Solving for variable 'x'.

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

Add '0.0625z2' to each side of the equation.
(9x2y2) + -0.0625z2 + 0.0625z2 = 0 + 0.0625z2

Combine like terms: -0.0625z2 + 0.0625z2 = 0.0000
(9x2y2) + 0.0000 = 0 + 0.0625z2
(9x2y2) = 0 + 0.0625z2
Remove the zero:
(9x2y2) = 0.0625z2

Divide each side by '(9y2)'.
x2 = 0.006944444444y-2z2

Simplifying
x2 = 0.006944444444y-2z2

Take the square root of each side:
x = {-0.083333333y-1z, 0.083333333y-1z}