2*84=n*n+2

Solution for 2*84=n*n+2 equation:

Simplifying
2 * 84 = n * n + 2

Multiply 2 * 84
168 = n * n + 2

Multiply n * n
168 = n2 + 2

Reorder the terms:
168 = 2 + n2

Solving
168 = 2 + n2

Solving for variable 'n'.

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

Add '-1n2' to each side of the equation.
168 + -1n2 = 2 + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
168 + -1n2 = 2 + 0
168 + -1n2 = 2

Add '-168' to each side of the equation.
168 + -168 + -1n2 = 2 + -168

Combine like terms: 168 + -168 = 0
0 + -1n2 = 2 + -168
-1n2 = 2 + -168

Combine like terms: 2 + -168 = -166
-1n2 = -166

Divide each side by '-1'.
n2 = 166

Simplifying
n2 = 166

Take the square root of each side:
n = {-12.884098727, 12.884098727}