(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}