2(s+2t)s=

Solution for 2(s+2t)s= equation:

Simplifying
2(s + 2t) * s = 0

Reorder the terms for easier multiplication:
2s(s + 2t) = 0
(s * 2s + 2t * 2s) = 0

Reorder the terms:
(4st + 2s2) = 0
(4st + 2s2) = 0

Solving
4st + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2s'.
2s(2t + s) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(2t + s)' equal to zero and attempt to solve:

Simplifying
2t + s = 0

Reorder the terms:
s + 2t = 0

Solving
s + 2t = 0

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

Add '-2t' to each side of the equation.
s + 2t + -2t = 0 + -2t

Combine like terms: 2t + -2t = 0
s + 0 = 0 + -2t
s = 0 + -2t
Remove the zero:
s = -2t

Simplifying
s = -2t
Solution
s = {0, -2t}