(n+6)(n+6-12)=130*130

Solution for (n+6)(n+6-12)=130*130 equation:

Simplifying
(n + 6)(n + 6 + -12) = 130 * 130

Reorder the terms:
(6 + n)(n + 6 + -12) = 130 * 130

Reorder the terms:
(6 + n)(6 + -12 + n) = 130 * 130

Combine like terms: 6 + -12 = -6
(6 + n)(-6 + n) = 130 * 130

Multiply (6 + n) * (-6 + n)
(6(-6 + n) + n(-6 + n)) = 130 * 130
((-6 * 6 + n * 6) + n(-6 + n)) = 130 * 130
((-36 + 6n) + n(-6 + n)) = 130 * 130
(-36 + 6n + (-6 * n + n * n)) = 130 * 130
(-36 + 6n + (-6n + n2)) = 130 * 130

Combine like terms: 6n + -6n = 0
(-36 + 0 + n2) = 130 * 130
(-36 + n2) = 130 * 130

Multiply 130 * 130
-36 + n2 = 16900

Solving
-36 + n2 = 16900

Solving for variable 'n'.

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

Add '36' to each side of the equation.
-36 + 36 + n2 = 16900 + 36

Combine like terms: -36 + 36 = 0
0 + n2 = 16900 + 36
n2 = 16900 + 36

Combine like terms: 16900 + 36 = 16936
n2 = 16936

Simplifying
n2 = 16936

Take the square root of each side:
n = {-130.13838788, 130.13838788}