5s^2-10s=5s

Solution for 5s^2-10s=5s equation:

Simplifying
5s2 + -10s = 5s

Reorder the terms:
-10s + 5s2 = 5s

Solving
-10s + 5s2 = 5s

Solving for variable 's'.

Reorder the terms:
-10s + -5s + 5s2 = 5s + -5s

Combine like terms: -10s + -5s = -15s
-15s + 5s2 = 5s + -5s

Combine like terms: 5s + -5s = 0
-15s + 5s2 = 0

Factor out the Greatest Common Factor (GCF), '5s'.
5s(-3 + s) = 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 '(-3 + s)' equal to zero and attempt to solve:

Simplifying
-3 + s = 0

Solving
-3 + s = 0

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

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

Combine like terms: -3 + 3 = 0
0 + s = 0 + 3
s = 0 + 3

Combine like terms: 0 + 3 = 3
s = 3

Simplifying
s = 3
Solution
s = {0, 3}