10b^2-4b=2b

Solution for 10b^2-4b=2b equation:

Simplifying
10b2 + -4b = 2b

Reorder the terms:
-4b + 10b2 = 2b

Solving
-4b + 10b2 = 2b

Solving for variable 'b'.

Reorder the terms:
-4b + -2b + 10b2 = 2b + -2b

Combine like terms: -4b + -2b = -6b
-6b + 10b2 = 2b + -2b

Combine like terms: 2b + -2b = 0
-6b + 10b2 = 0

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-3 + 5b) = 0

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

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(-3 + 5b)' equal to zero and attempt to solve:

Simplifying
-3 + 5b = 0

Solving
-3 + 5b = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5b = 0 + 3
5b = 0 + 3

Combine like terms: 0 + 3 = 3
5b = 3

Divide each side by '5'.
b = 0.6

Simplifying
b = 0.6
Solution
b = {0, 0.6}