16s^2+4s=s

Solution for 16s^2+4s=s equation:

Simplifying
16s2 + 4s = s

Reorder the terms:
4s + 16s2 = s

Solving
4s + 16s2 = s

Solving for variable 's'.

Reorder the terms:
4s + -1s + 16s2 = s + -1s

Combine like terms: 4s + -1s = 3s
3s + 16s2 = s + -1s

Combine like terms: s + -1s = 0
3s + 16s2 = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(3 + 16s) = 0

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 + 16s)' equal to zero and attempt to solve:

Simplifying
3 + 16s = 0

Solving
3 + 16s = 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 + 16s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 16s = 0 + -3
16s = 0 + -3

Combine like terms: 0 + -3 = -3
16s = -3

Divide each side by '16'.
s = -0.1875

Simplifying
s = -0.1875
Solution
s = {0, -0.1875}