4s(s)=10s

Solution for 4s(s)=10s equation:

Simplifying
4s(s) = 10s

Multiply s * s
4s2 = 10s

Solving
4s2 = 10s

Solving for variable 's'.

Reorder the terms:
-10s + 4s2 = 10s + -10s

Combine like terms: 10s + -10s = 0
-10s + 4s2 = 0

Factor out the Greatest Common Factor (GCF), '2s'.
2s(-5 + 2s) = 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 '(-5 + 2s)' equal to zero and attempt to solve:

Simplifying
-5 + 2s = 0

Solving
-5 + 2s = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2s = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2s = 0 + 5
2s = 0 + 5

Combine like terms: 0 + 5 = 5
2s = 5

Divide each side by '2'.
s = 2.5

Simplifying
s = 2.5
Solution
s = {0, 2.5}