(6)n*n+7-20=0

Solution for (6)n*n+7-20=0 equation:

Simplifying
(6) * n * n + 7 + -20 = 0

Multiply n * n
6n2 + 7 + -20 = 0

Reorder the terms:
7 + -20 + 6n2 = 0

Combine like terms: 7 + -20 = -13
-13 + 6n2 = 0

Solving
-13 + 6n2 = 0

Solving for variable 'n'.

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

Add '13' to each side of the equation.
-13 + 13 + 6n2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 6n2 = 0 + 13
6n2 = 0 + 13

Combine like terms: 0 + 13 = 13
6n2 = 13

Divide each side by '6'.
n2 = 2.166666667

Simplifying
n2 = 2.166666667

Take the square root of each side:
n = {-1.471960145, 1.471960145}