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

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

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

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

Reorder the terms:
((-6bp + 9b2) + 2p * (3b + -2p)) = 0
((-6bp + 9b2) + 2p * (3b + -2p)) = 0
(-6bp + 9b2 + (3b * 2p + -2p * 2p)) = 0
(-6bp + 9b2 + (6bp + -4p2)) = 0

Reorder the terms:
(-6bp + 6bp + 9b2 + -4p2) = 0

Combine like terms: -6bp + 6bp = 0
(0 + 9b2 + -4p2) = 0
(9b2 + -4p2) = 0

Solving
9b2 + -4p2 = 0

Solving for variable 'b'.

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

Add '4p2' to each side of the equation.
9b2 + -4p2 + 4p2 = 0 + 4p2

Combine like terms: -4p2 + 4p2 = 0
9b2 + 0 = 0 + 4p2
9b2 = 0 + 4p2
Remove the zero:
9b2 = 4p2

Divide each side by '9'.
b2 = 0.4444444444p2

Simplifying
b2 = 0.4444444444p2

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