10z^2=2z

Solution for 10z^2=2z equation:

Simplifying
10z2 = 2z

Solving
10z2 = 2z

Solving for variable 'z'.

Reorder the terms:
-2z + 10z2 = 2z + -2z

Combine like terms: 2z + -2z = 0
-2z + 10z2 = 0

Factor out the Greatest Common Factor (GCF), '2z'.
2z(-1 + 5z) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0
Subproblem 2
Set the factor '(-1 + 5z)' equal to zero and attempt to solve:

Simplifying
-1 + 5z = 0

Solving
-1 + 5z = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5z = 0 + 1
5z = 0 + 1

Combine like terms: 0 + 1 = 1
5z = 1

Divide each side by '5'.
z = 0.2

Simplifying
z = 0.2
Solution
z = {0, 0.2}