5s^2-175=-6

Solution for 5s^2-175=-6 equation:

Simplifying
5s2 + -175 = -6

Reorder the terms:
-175 + 5s2 = -6

Solving
-175 + 5s2 = -6

Solving for variable 's'.

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

Add '175' to each side of the equation.
-175 + 175 + 5s2 = -6 + 175

Combine like terms: -175 + 175 = 0
0 + 5s2 = -6 + 175
5s2 = -6 + 175

Combine like terms: -6 + 175 = 169
5s2 = 169

Divide each side by '5'.
s2 = 33.8

Simplifying
s2 = 33.8

Take the square root of each side:
s = {-5.813776742, 5.813776742}