(4r+6)(4r-6)=

Solution for (4r+6)(4r-6)= equation:

Simplifying
(4r + 6)(4r + -6) = 0

Reorder the terms:
(6 + 4r)(4r + -6) = 0

Reorder the terms:
(6 + 4r)(-6 + 4r) = 0

Multiply (6 + 4r) * (-6 + 4r)
(6(-6 + 4r) + 4r * (-6 + 4r)) = 0
((-6 * 6 + 4r * 6) + 4r * (-6 + 4r)) = 0
((-36 + 24r) + 4r * (-6 + 4r)) = 0
(-36 + 24r + (-6 * 4r + 4r * 4r)) = 0
(-36 + 24r + (-24r + 16r2)) = 0

Combine like terms: 24r + -24r = 0
(-36 + 0 + 16r2) = 0
(-36 + 16r2) = 0

Solving
-36 + 16r2 = 0

Solving for variable 'r'.

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

Add '36' to each side of the equation.
-36 + 36 + 16r2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16r2 = 0 + 36
16r2 = 0 + 36

Combine like terms: 0 + 36 = 36
16r2 = 36

Divide each side by '16'.
r2 = 2.25

Simplifying
r2 = 2.25

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