b(7b+2)=0

Solution for b(7b+2)=0 equation:

Simplifying
b(7b + 2) = 0

Reorder the terms:
b(2 + 7b) = 0
(2 * b + 7b * b) = 0
(2b + 7b2) = 0

Solving
2b + 7b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(2 + 7b) = 0

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 '(2 + 7b)' equal to zero and attempt to solve:

Simplifying
2 + 7b = 0

Solving
2 + 7b = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7b = 0 + -2
7b = 0 + -2

Combine like terms: 0 + -2 = -2
7b = -2

Divide each side by '7'.
b = -0.2857142857

Simplifying
b = -0.2857142857
Solution
b = {0, -0.2857142857}