4b(b-4)(b+3)=

Solution for 4b(b-4)(b+3)= equation:

Simplifying
4b(b + -4)(b + 3) = 0

Reorder the terms:
4b(-4 + b)(b + 3) = 0

Reorder the terms:
4b(-4 + b)(3 + b) = 0

Multiply (-4 + b) * (3 + b)
4b(-4(3 + b) + b(3 + b)) = 0
4b((3 * -4 + b * -4) + b(3 + b)) = 0
4b((-12 + -4b) + b(3 + b)) = 0
4b(-12 + -4b + (3 * b + b * b)) = 0
4b(-12 + -4b + (3b + b2)) = 0

Combine like terms: -4b + 3b = -1b
4b(-12 + -1b + b2) = 0
(-12 * 4b + -1b * 4b + b2 * 4b) = 0
(-48b + -4b2 + 4b3) = 0

Solving
-48b + -4b2 + 4b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-12 + -1b + b2) = 0

Factor a trinomial.
4b((-3 + -1b)(4 + -1b)) = 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 '(-3 + -1b)' equal to zero and attempt to solve:

Simplifying
-3 + -1b = 0

Solving
-3 + -1b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1b = 0 + 3
-1b = 0 + 3

Combine like terms: 0 + 3 = 3
-1b = 3

Divide each side by '-1'.
b = -3

Simplifying
b = -3
Subproblem 3
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 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 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {0, -3, 4}