(8b+3c)(8b-3c)=

Solution for (8b+3c)(8b-3c)= equation:

Simplifying
(8b + 3c)(8b + -3c) = 0

Multiply (8b + 3c) * (8b + -3c)
(8b * (8b + -3c) + 3c * (8b + -3c)) = 0
((8b * 8b + -3c * 8b) + 3c * (8b + -3c)) = 0

Reorder the terms:
((-24bc + 64b2) + 3c * (8b + -3c)) = 0
((-24bc + 64b2) + 3c * (8b + -3c)) = 0
(-24bc + 64b2 + (8b * 3c + -3c * 3c)) = 0
(-24bc + 64b2 + (24bc + -9c2)) = 0

Reorder the terms:
(-24bc + 24bc + 64b2 + -9c2) = 0

Combine like terms: -24bc + 24bc = 0
(0 + 64b2 + -9c2) = 0
(64b2 + -9c2) = 0

Solving
64b2 + -9c2 = 0

Solving for variable 'b'.

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

Add '9c2' to each side of the equation.
64b2 + -9c2 + 9c2 = 0 + 9c2

Combine like terms: -9c2 + 9c2 = 0
64b2 + 0 = 0 + 9c2
64b2 = 0 + 9c2
Remove the zero:
64b2 = 9c2

Divide each side by '64'.
b2 = 0.140625c2

Simplifying
b2 = 0.140625c2

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