(3n+8)(3n-8)=0

Solution for (3n+8)(3n-8)=0 equation:

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

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

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

Multiply (8 + 3n) * (-8 + 3n)
(8(-8 + 3n) + 3n * (-8 + 3n)) = 0
((-8 * 8 + 3n * 8) + 3n * (-8 + 3n)) = 0
((-64 + 24n) + 3n * (-8 + 3n)) = 0
(-64 + 24n + (-8 * 3n + 3n * 3n)) = 0
(-64 + 24n + (-24n + 9n2)) = 0

Combine like terms: 24n + -24n = 0
(-64 + 0 + 9n2) = 0
(-64 + 9n2) = 0

Solving
-64 + 9n2 = 0

Solving for variable 'n'.

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

Add '64' to each side of the equation.
-64 + 64 + 9n2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 9n2 = 0 + 64
9n2 = 0 + 64

Combine like terms: 0 + 64 = 64
9n2 = 64

Divide each side by '9'.
n2 = 7.111111111

Simplifying
n2 = 7.111111111

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