(6n-4)(6n+4)=

Solution for (6n-4)(6n+4)= equation:

Simplifying
(6n + -4)(6n + 4) = 0

Reorder the terms:
(-4 + 6n)(6n + 4) = 0

Reorder the terms:
(-4 + 6n)(4 + 6n) = 0

Multiply (-4 + 6n) * (4 + 6n)
(-4(4 + 6n) + 6n * (4 + 6n)) = 0
((4 * -4 + 6n * -4) + 6n * (4 + 6n)) = 0
((-16 + -24n) + 6n * (4 + 6n)) = 0
(-16 + -24n + (4 * 6n + 6n * 6n)) = 0
(-16 + -24n + (24n + 36n2)) = 0

Combine like terms: -24n + 24n = 0
(-16 + 0 + 36n2) = 0
(-16 + 36n2) = 0

Solving
-16 + 36n2 = 0

Solving for variable 'n'.

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

Add '16' to each side of the equation.
-16 + 16 + 36n2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 36n2 = 0 + 16
36n2 = 0 + 16

Combine like terms: 0 + 16 = 16
36n2 = 16

Divide each side by '36'.
n2 = 0.4444444444

Simplifying
n2 = 0.4444444444

Take the square root of each side:
n = {-0.666666667, 0.666666667}