14s^2-10s=2s

Solution for 14s^2-10s=2s equation:

Simplifying
14s2 + -10s = 2s

Reorder the terms:
-10s + 14s2 = 2s

Solving
-10s + 14s2 = 2s

Solving for variable 's'.

Reorder the terms:
-10s + -2s + 14s2 = 2s + -2s

Combine like terms: -10s + -2s = -12s
-12s + 14s2 = 2s + -2s

Combine like terms: 2s + -2s = 0
-12s + 14s2 = 0

Factor out the Greatest Common Factor (GCF), '2s'.
2s(-6 + 7s) = 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 '(-6 + 7s)' equal to zero and attempt to solve:

Simplifying
-6 + 7s = 0

Solving
-6 + 7s = 0

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

Add '6' to each side of the equation.
-6 + 6 + 7s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7s = 0 + 6
7s = 0 + 6

Combine like terms: 0 + 6 = 6
7s = 6

Divide each side by '7'.
s = 0.8571428571

Simplifying
s = 0.8571428571
Solution
s = {0, 0.8571428571}