7b(12-2b)=

Solution for 7b(12-2b)= equation:

Simplifying
7b(12 + -2b) = 0
(12 * 7b + -2b * 7b) = 0
(84b + -14b2) = 0

Solving
84b + -14b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '14b'.
14b(6 + -1b) = 0

Ignore the factor 14.
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 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 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 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Solution
b = {0, 6}