(3p+2y)(3p-2y)=

Solution for (3p+2y)(3p-2y)= equation:

Simplifying
(3p + 2y)(3p + -2y) = 0

Multiply (3p + 2y) * (3p + -2y)
(3p * (3p + -2y) + 2y * (3p + -2y)) = 0
((3p * 3p + -2y * 3p) + 2y * (3p + -2y)) = 0

Reorder the terms:
((-6py + 9p2) + 2y * (3p + -2y)) = 0
((-6py + 9p2) + 2y * (3p + -2y)) = 0
(-6py + 9p2 + (3p * 2y + -2y * 2y)) = 0
(-6py + 9p2 + (6py + -4y2)) = 0

Reorder the terms:
(-6py + 6py + 9p2 + -4y2) = 0

Combine like terms: -6py + 6py = 0
(0 + 9p2 + -4y2) = 0
(9p2 + -4y2) = 0

Solving
9p2 + -4y2 = 0

Solving for variable 'p'.

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

Add '4y2' to each side of the equation.
9p2 + -4y2 + 4y2 = 0 + 4y2

Combine like terms: -4y2 + 4y2 = 0
9p2 + 0 = 0 + 4y2
9p2 = 0 + 4y2
Remove the zero:
9p2 = 4y2

Divide each side by '9'.
p2 = 0.4444444444y2

Simplifying
p2 = 0.4444444444y2

Take the square root of each side:
p = {-0.666666667y, 0.666666667y}