(4rs+3)(4rs-3)=

Solution for (4rs+3)(4rs-3)= equation:

Simplifying
(4rs + 3)(4rs + -3) = 0

Reorder the terms:
(3 + 4rs)(4rs + -3) = 0

Reorder the terms:
(3 + 4rs)(-3 + 4rs) = 0

Multiply (3 + 4rs) * (-3 + 4rs)
(3(-3 + 4rs) + 4rs * (-3 + 4rs)) = 0
((-3 * 3 + 4rs * 3) + 4rs * (-3 + 4rs)) = 0
((-9 + 12rs) + 4rs * (-3 + 4rs)) = 0
(-9 + 12rs + (-3 * 4rs + 4rs * 4rs)) = 0
(-9 + 12rs + (-12rs + 16r2s2)) = 0

Combine like terms: 12rs + -12rs = 0
(-9 + 0 + 16r2s2) = 0
(-9 + 16r2s2) = 0

Solving
-9 + 16r2s2 = 0

Solving for variable 'r'.

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

Add '9' to each side of the equation.
-9 + 9 + 16r2s2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 16r2s2 = 0 + 9
16r2s2 = 0 + 9

Combine like terms: 0 + 9 = 9
16r2s2 = 9

Divide each side by '16s2'.
r2 = 0.5625s-2

Simplifying
r2 = 0.5625s-2

Take the square root of each side:
r = {-0.75s-1, 0.75s-1}