7b(b-4)=0

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

Simplifying
7b(b + -4) = 0

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

Solving
-28b + 7b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-4 + b = 0

Solving
-4 + b = 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 + b = 0 + 4

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

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

Simplifying
b = 4
Solution
b = {0, 4}