(3r+2s)(3r-2s)=

Solution for (3r+2s)(3r-2s)= equation:

Simplifying
(3r + 2s)(3r + -2s) = 0

Multiply (3r + 2s) * (3r + -2s)
(3r * (3r + -2s) + 2s * (3r + -2s)) = 0
((3r * 3r + -2s * 3r) + 2s * (3r + -2s)) = 0

Reorder the terms:
((-6rs + 9r2) + 2s * (3r + -2s)) = 0
((-6rs + 9r2) + 2s * (3r + -2s)) = 0
(-6rs + 9r2 + (3r * 2s + -2s * 2s)) = 0
(-6rs + 9r2 + (6rs + -4s2)) = 0

Reorder the terms:
(-6rs + 6rs + 9r2 + -4s2) = 0

Combine like terms: -6rs + 6rs = 0
(0 + 9r2 + -4s2) = 0
(9r2 + -4s2) = 0

Solving
9r2 + -4s2 = 0

Solving for variable 'r'.

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

Add '4s2' to each side of the equation.
9r2 + -4s2 + 4s2 = 0 + 4s2

Combine like terms: -4s2 + 4s2 = 0
9r2 + 0 = 0 + 4s2
9r2 = 0 + 4s2
Remove the zero:
9r2 = 4s2

Divide each side by '9'.
r2 = 0.4444444444s2

Simplifying
r2 = 0.4444444444s2

Take the square root of each side:
r = {-0.666666667s, 0.666666667s}