3b-5b^2+2b=0

Solution for 3b-5b^2+2b=0 equation:

Simplifying
3b + -5b2 + 2b = 0

Reorder the terms:
3b + 2b + -5b2 = 0

Combine like terms: 3b + 2b = 5b
5b + -5b2 = 0

Solving
5b + -5b2 = 0

Solving for variable 'b'.

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

Ignore the factor 5.
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 '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1b = 0 + -1
-1b = 0 + -1

Combine like terms: 0 + -1 = -1
-1b = -1

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Solution
b = {0, 1}