b(7b-4)=0

Solution for b(7b-4)=0 equation:

Simplifying
b(7b + -4) = 0

Reorder the terms:
b(-4 + 7b) = 0
(-4 * b + 7b * b) = 0
(-4b + 7b2) = 0

Solving
-4b + 7b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-4 + 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 '(-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}