4b(b+9)-12b=

Solution for 4b(b+9)-12b= equation:

Simplifying
4b(b + 9) + -12b = 0

Reorder the terms:
4b(9 + b) + -12b = 0
(9 * 4b + b * 4b) + -12b = 0
(36b + 4b2) + -12b = 0

Reorder the terms:
36b + -12b + 4b2 = 0

Combine like terms: 36b + -12b = 24b
24b + 4b2 = 0

Solving
24b + 4b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(6 + b) = 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 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

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

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

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

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