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

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

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

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

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

Multiply (-8 + 3c) * (8 + 3c)
(-8(8 + 3c) + 3c * (8 + 3c)) = 0
((8 * -8 + 3c * -8) + 3c * (8 + 3c)) = 0
((-64 + -24c) + 3c * (8 + 3c)) = 0
(-64 + -24c + (8 * 3c + 3c * 3c)) = 0
(-64 + -24c + (24c + 9c2)) = 0

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

Solving
-64 + 9c2 = 0

Solving for variable 'c'.

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

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

Combine like terms: -64 + 64 = 0
0 + 9c2 = 0 + 64
9c2 = 0 + 64

Combine like terms: 0 + 64 = 64
9c2 = 64

Divide each side by '9'.
c2 = 7.111111111

Simplifying
c2 = 7.111111111

Take the square root of each side:
c = {-2.666666667, 2.666666667}