3b(7b-3)=0

Solution for 3b(7b-3)=0 equation:

Simplifying
3b(7b + -3) = 0

Reorder the terms:
3b(-3 + 7b) = 0
(-3 * 3b + 7b * 3b) = 0
(-9b + 21b2) = 0

Solving
-9b + 21b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-3 + 7b) = 0

Ignore the factor 3.
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 + 7b)' equal to zero and attempt to solve:

Simplifying
-3 + 7b = 0

Solving
-3 + 7b = 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 + 7b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7b = 0 + 3
7b = 0 + 3

Combine like terms: 0 + 3 = 3
7b = 3

Divide each side by '7'.
b = 0.4285714286

Simplifying
b = 0.4285714286
Solution
b = {0, 0.4285714286}