3b(7b+4)=0

Solution for 3b(7b+4)=0 equation:

Simplifying
3b(7b + 4) = 0

Reorder the terms:
3b(4 + 7b) = 0
(4 * 3b + 7b * 3b) = 0
(12b + 21b2) = 0

Solving
12b + 21b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(4 + 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 '(4 + 7b)' equal to zero and attempt to solve:

Simplifying
4 + 7b = 0

Solving
4 + 7b = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7b = 0 + -4
7b = 0 + -4

Combine like terms: 0 + -4 = -4
7b = -4

Divide each side by '7'.
b = -0.5714285714

Simplifying
b = -0.5714285714
Solution
b = {0, -0.5714285714}