(b-5)(5b)(b+3)=

Solution for (b-5)(5b)(b+3)= equation:

Simplifying
(b + -5)(5b)(b + 3) = 0

Reorder the terms:
(-5 + b)(5b)(b + 3) = 0

Remove parenthesis around (5b)
(-5 + b) * 5b(b + 3) = 0

Reorder the terms:
(-5 + b) * 5b(3 + b) = 0

Reorder the terms for easier multiplication:
5b(-5 + b)(3 + b) = 0

Multiply (-5 + b) * (3 + b)
5b(-5(3 + b) + b(3 + b)) = 0
5b((3 * -5 + b * -5) + b(3 + b)) = 0
5b((-15 + -5b) + b(3 + b)) = 0
5b(-15 + -5b + (3 * b + b * b)) = 0
5b(-15 + -5b + (3b + b2)) = 0

Combine like terms: -5b + 3b = -2b
5b(-15 + -2b + b2) = 0
(-15 * 5b + -2b * 5b + b2 * 5b) = 0
(-75b + -10b2 + 5b3) = 0

Solving
-75b + -10b2 + 5b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b'.
5b(-15 + -2b + b2) = 0

Factor a trinomial.
5b((-3 + -1b)(5 + -1b)) = 0

Ignore the factor 5.
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 '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {0, -3, 5}