10s^2-8s=2s

Solution for 10s^2-8s=2s equation:

Simplifying
10s2 + -8s = 2s

Reorder the terms:
-8s + 10s2 = 2s

Solving
-8s + 10s2 = 2s

Solving for variable 's'.

Reorder the terms:
-8s + -2s + 10s2 = 2s + -2s

Combine like terms: -8s + -2s = -10s
-10s + 10s2 = 2s + -2s

Combine like terms: 2s + -2s = 0
-10s + 10s2 = 0

Factor out the Greatest Common Factor (GCF), '10s'.
10s(-1 + s) = 0

Ignore the factor 10.
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 + s)' equal to zero and attempt to solve:

Simplifying
-1 + s = 0

Solving
-1 + s = 0

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

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

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

Combine like terms: 0 + 1 = 1
s = 1

Simplifying
s = 1
Solution
s = {0, 1}