5s(2s+2st+1)=

Solution for 5s(2s+2st+1)= equation:

Simplifying
5s(2s + 2st + 1) = 0

Reorder the terms:
5s(1 + 2s + 2st) = 0
(1 * 5s + 2s * 5s + 2st * 5s) = 0
(5s + 10s2 + 10s2t) = 0

Solving
5s + 10s2 + 10s2t = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5s'.
5s(1 + 2s + 2st) = 0

Ignore the factor 5.
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 '(1 + 2s + 2st)' equal to zero and attempt to solve:

Simplifying
1 + 2s + 2st = 0

Solving
1 + 2s + 2st = 0

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

Add '-1' to each side of the equation.
1 + 2s + -1 + 2st = 0 + -1

Reorder the terms:
1 + -1 + 2s + 2st = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2s + 2st = 0 + -1
2s + 2st = 0 + -1

Combine like terms: 0 + -1 = -1
2s + 2st = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
s = {0}