x^2-6n-72=0

Solution for x^2-6n-72=0 equation:

Simplifying
x2 + -6n + -72 = 0

Reorder the terms:
-72 + -6n + x2 = 0

Solving
-72 + -6n + x2 = 0

Solving for variable 'n'.

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

Add '72' to each side of the equation.
-72 + -6n + 72 + x2 = 0 + 72

Reorder the terms:
-72 + 72 + -6n + x2 = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -6n + x2 = 0 + 72
-6n + x2 = 0 + 72

Combine like terms: 0 + 72 = 72
-6n + x2 = 72

Add '-1x2' to each side of the equation.
-6n + x2 + -1x2 = 72 + -1x2

Combine like terms: x2 + -1x2 = 0
-6n + 0 = 72 + -1x2
-6n = 72 + -1x2

Divide each side by '-6'.
n = -12 + 0.1666666667x2

Simplifying
n = -12 + 0.1666666667x2