(n+4)(n-4)=30

Solution for (n+4)(n-4)=30 equation:

Simplifying
(n + 4)(n + -4) = 30

Reorder the terms:
(4 + n)(n + -4) = 30

Reorder the terms:
(4 + n)(-4 + n) = 30

Multiply (4 + n) * (-4 + n)
(4(-4 + n) + n(-4 + n)) = 30
((-4 * 4 + n * 4) + n(-4 + n)) = 30
((-16 + 4n) + n(-4 + n)) = 30
(-16 + 4n + (-4 * n + n * n)) = 30
(-16 + 4n + (-4n + n2)) = 30

Combine like terms: 4n + -4n = 0
(-16 + 0 + n2) = 30
(-16 + n2) = 30

Solving
-16 + n2 = 30

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 + n2 = 30 + 16

Combine like terms: -16 + 16 = 0
0 + n2 = 30 + 16
n2 = 30 + 16

Combine like terms: 30 + 16 = 46
n2 = 46

Simplifying
n2 = 46

Take the square root of each side:
n = {-6.782329983, 6.782329983}