(n+5)*(n-5)=12

Solution for (n+5)*(n-5)=12 equation:

Simplifying
(n + 5)(n + -5) = 12

Reorder the terms:
(5 + n)(n + -5) = 12

Reorder the terms:
(5 + n)(-5 + n) = 12

Multiply (5 + n) * (-5 + n)
(5(-5 + n) + n(-5 + n)) = 12
((-5 * 5 + n * 5) + n(-5 + n)) = 12
((-25 + 5n) + n(-5 + n)) = 12
(-25 + 5n + (-5 * n + n * n)) = 12
(-25 + 5n + (-5n + n2)) = 12

Combine like terms: 5n + -5n = 0
(-25 + 0 + n2) = 12
(-25 + n2) = 12

Solving
-25 + n2 = 12

Solving for variable 'n'.

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

Add '25' to each side of the equation.
-25 + 25 + n2 = 12 + 25

Combine like terms: -25 + 25 = 0
0 + n2 = 12 + 25
n2 = 12 + 25

Combine like terms: 12 + 25 = 37
n2 = 37

Simplifying
n2 = 37

Take the square root of each side:
n = {-6.08276253, 6.08276253}