(6c+8)(6c-8)=0

Solution for (6c+8)(6c-8)=0 equation:

Simplifying
(6c + 8)(6c + -8) = 0

Reorder the terms:
(8 + 6c)(6c + -8) = 0

Reorder the terms:
(8 + 6c)(-8 + 6c) = 0

Multiply (8 + 6c) * (-8 + 6c)
(8(-8 + 6c) + 6c * (-8 + 6c)) = 0
((-8 * 8 + 6c * 8) + 6c * (-8 + 6c)) = 0
((-64 + 48c) + 6c * (-8 + 6c)) = 0
(-64 + 48c + (-8 * 6c + 6c * 6c)) = 0
(-64 + 48c + (-48c + 36c2)) = 0

Combine like terms: 48c + -48c = 0
(-64 + 0 + 36c2) = 0
(-64 + 36c2) = 0

Solving
-64 + 36c2 = 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 + 36c2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 36c2 = 0 + 64
36c2 = 0 + 64

Combine like terms: 0 + 64 = 64
36c2 = 64

Divide each side by '36'.
c2 = 1.777777778

Simplifying
c2 = 1.777777778

Take the square root of each side:
c = {-1.333333333, 1.333333333}