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

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

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

Reorder the terms:
(-3 + 2r)(2r + 3) = 0

Reorder the terms:
(-3 + 2r)(3 + 2r) = 0

Multiply (-3 + 2r) * (3 + 2r)
(-3(3 + 2r) + 2r * (3 + 2r)) = 0
((3 * -3 + 2r * -3) + 2r * (3 + 2r)) = 0
((-9 + -6r) + 2r * (3 + 2r)) = 0
(-9 + -6r + (3 * 2r + 2r * 2r)) = 0
(-9 + -6r + (6r + 4r2)) = 0

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

Solving
-9 + 4r2 = 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 + 4r2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4r2 = 0 + 9
4r2 = 0 + 9

Combine like terms: 0 + 9 = 9
4r2 = 9

Divide each side by '4'.
r2 = 2.25

Simplifying
r2 = 2.25

Take the square root of each side:
r = {-1.5, 1.5}