3s^2-40+13=0

Solution for 3s^2-40+13=0 equation:

Simplifying
3s2 + -40 + 13 = 0

Reorder the terms:
-40 + 13 + 3s2 = 0

Combine like terms: -40 + 13 = -27
-27 + 3s2 = 0

Solving
-27 + 3s2 = 0

Solving for variable 's'.

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

Add '27' to each side of the equation.
-27 + 27 + 3s2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 3s2 = 0 + 27
3s2 = 0 + 27

Combine like terms: 0 + 27 = 27
3s2 = 27

Divide each side by '3'.
s2 = 9

Simplifying
s2 = 9

Take the square root of each side:
s = {-3, 3}