(9x+2y)*(9x-2y)=

Solution for (9x+2y)*(9x-2y)= equation:

Simplifying
(9x + 2y)(9x + -2y) = 0

Multiply (9x + 2y) * (9x + -2y)
(9x * (9x + -2y) + 2y * (9x + -2y)) = 0
((9x * 9x + -2y * 9x) + 2y * (9x + -2y)) = 0

Reorder the terms:
((-18xy + 81x2) + 2y * (9x + -2y)) = 0
((-18xy + 81x2) + 2y * (9x + -2y)) = 0
(-18xy + 81x2 + (9x * 2y + -2y * 2y)) = 0
(-18xy + 81x2 + (18xy + -4y2)) = 0

Reorder the terms:
(-18xy + 18xy + 81x2 + -4y2) = 0

Combine like terms: -18xy + 18xy = 0
(0 + 81x2 + -4y2) = 0
(81x2 + -4y2) = 0

Solving
81x2 + -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.
81x2 + -4y2 + 4y2 = 0 + 4y2

Combine like terms: -4y2 + 4y2 = 0
81x2 + 0 = 0 + 4y2
81x2 = 0 + 4y2
Remove the zero:
81x2 = 4y2

Divide each side by '81'.
x2 = 0.04938271605y2

Simplifying
x2 = 0.04938271605y2

Take the square root of each side:
x = {-0.222222222y, 0.222222222y}