(8abc+3)(8abc-3)=

Solution for (8abc+3)(8abc-3)= equation:

Simplifying
(8abc + 3)(8abc + -3) = 0

Reorder the terms:
(3 + 8abc)(8abc + -3) = 0

Reorder the terms:
(3 + 8abc)(-3 + 8abc) = 0

Multiply (3 + 8abc) * (-3 + 8abc)
(3(-3 + 8abc) + 8abc * (-3 + 8abc)) = 0
((-3 * 3 + 8abc * 3) + 8abc * (-3 + 8abc)) = 0
((-9 + 24abc) + 8abc * (-3 + 8abc)) = 0
(-9 + 24abc + (-3 * 8abc + 8abc * 8abc)) = 0
(-9 + 24abc + (-24abc + 64a2b2c2)) = 0

Combine like terms: 24abc + -24abc = 0
(-9 + 0 + 64a2b2c2) = 0
(-9 + 64a2b2c2) = 0

Solving
-9 + 64a2b2c2 = 0

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + 64a2b2c2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 64a2b2c2 = 0 + 9
64a2b2c2 = 0 + 9

Combine like terms: 0 + 9 = 9
64a2b2c2 = 9

Divide each side by '64b2c2'.
a2 = 0.140625b-2c-2

Simplifying
a2 = 0.140625b-2c-2

Take the square root of each side:
a = {-0.375b-1c-1, 0.375b-1c-1}