216=2(s^2)+2(s^2)+2(s^2)

Solution for 216=2(s^2)+2(s^2)+2(s^2) equation:

Simplifying
216 = 2(s2) + 2(s2) + 2(s2)

Combine like terms: 2s2 + 2s2 = 4s2
216 = 4s2 + 2s2

Combine like terms: 4s2 + 2s2 = 6s2
216 = 6s2

Solving
216 = 6s2

Solving for variable 's'.

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

Add '-6s2' to each side of the equation.
216 + -6s2 = 6s2 + -6s2

Combine like terms: 6s2 + -6s2 = 0
216 + -6s2 = 0

Add '-216' to each side of the equation.
216 + -216 + -6s2 = 0 + -216

Combine like terms: 216 + -216 = 0
0 + -6s2 = 0 + -216
-6s2 = 0 + -216

Combine like terms: 0 + -216 = -216
-6s2 = -216

Divide each side by '-6'.
s2 = 36

Simplifying
s2 = 36

Take the square root of each side:
s = {-6, 6}