4b(7b+6)=0

Solution for 4b(7b+6)=0 equation:

Simplifying
4b(7b + 6) = 0

Reorder the terms:
4b(6 + 7b) = 0
(6 * 4b + 7b * 4b) = 0
(24b + 28b2) = 0

Solving
24b + 28b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(6 + 7b) = 0

Ignore the factor 4.
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 '(6 + 7b)' equal to zero and attempt to solve:

Simplifying
6 + 7b = 0

Solving
6 + 7b = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7b = 0 + -6
7b = 0 + -6

Combine like terms: 0 + -6 = -6
7b = -6

Divide each side by '7'.
b = -0.8571428571

Simplifying
b = -0.8571428571
Solution
b = {0, -0.8571428571}