(8x+3y)(8x-3y)=0

Solution for (8x+3y)(8x-3y)=0 equation:

Simplifying
(8x + 3y)(8x + -3y) = 0

Multiply (8x + 3y) * (8x + -3y)
(8x * (8x + -3y) + 3y * (8x + -3y)) = 0
((8x * 8x + -3y * 8x) + 3y * (8x + -3y)) = 0

Reorder the terms:
((-24xy + 64x2) + 3y * (8x + -3y)) = 0
((-24xy + 64x2) + 3y * (8x + -3y)) = 0
(-24xy + 64x2 + (8x * 3y + -3y * 3y)) = 0
(-24xy + 64x2 + (24xy + -9y2)) = 0

Reorder the terms:
(-24xy + 24xy + 64x2 + -9y2) = 0

Combine like terms: -24xy + 24xy = 0
(0 + 64x2 + -9y2) = 0
(64x2 + -9y2) = 0

Solving
64x2 + -9y2 = 0

Solving for variable 'x'.

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

Add '9y2' to each side of the equation.
64x2 + -9y2 + 9y2 = 0 + 9y2

Combine like terms: -9y2 + 9y2 = 0
64x2 + 0 = 0 + 9y2
64x2 = 0 + 9y2
Remove the zero:
64x2 = 9y2

Divide each side by '64'.
x2 = 0.140625y2

Simplifying
x2 = 0.140625y2

Take the square root of each side:
x = {-0.375y, 0.375y}