(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}