6s^2-52+1=0

Solution for 6s^2-52+1=0 equation:

Simplifying
6s2 + -52 + 1 = 0

Reorder the terms:
-52 + 1 + 6s2 = 0

Combine like terms: -52 + 1 = -51
-51 + 6s2 = 0

Solving
-51 + 6s2 = 0

Solving for variable 's'.

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

Add '51' to each side of the equation.
-51 + 51 + 6s2 = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 6s2 = 0 + 51
6s2 = 0 + 51

Combine like terms: 0 + 51 = 51
6s2 = 51

Divide each side by '6'.
s2 = 8.5

Simplifying
s2 = 8.5

Take the square root of each side:
s = {-2.915475947, 2.915475947}