6k^2-1=71

Solution for 6k^2-1=71 equation:

Simplifying
6k2 + -1 = 71

Reorder the terms:
-1 + 6k2 = 71

Solving
-1 + 6k2 = 71

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + 1 + 6k2 = 71 + 1

Combine like terms: -1 + 1 = 0
0 + 6k2 = 71 + 1
6k2 = 71 + 1

Combine like terms: 71 + 1 = 72
6k2 = 72

Divide each side by '6'.
k2 = 12

Simplifying
k2 = 12

Take the square root of each side:
k = {-3.464101615, 3.464101615}