5s^2-17=-6

Solution for 5s^2-17=-6 equation:

Simplifying
5s2 + -17 = -6

Reorder the terms:
-17 + 5s2 = -6

Solving
-17 + 5s2 = -6

Solving for variable 's'.

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

Add '17' to each side of the equation.
-17 + 17 + 5s2 = -6 + 17

Combine like terms: -17 + 17 = 0
0 + 5s2 = -6 + 17
5s2 = -6 + 17

Combine like terms: -6 + 17 = 11
5s2 = 11

Divide each side by '5'.
s2 = 2.2

Simplifying
s2 = 2.2

Take the square root of each side:
s = {-1.483239697, 1.483239697}