5b(b-6)(b+7)=

Solution for 5b(b-6)(b+7)= equation:

Simplifying
5b(b + -6)(b + 7) = 0

Reorder the terms:
5b(-6 + b)(b + 7) = 0

Reorder the terms:
5b(-6 + b)(7 + b) = 0

Multiply (-6 + b) * (7 + b)
5b(-6(7 + b) + b(7 + b)) = 0
5b((7 * -6 + b * -6) + b(7 + b)) = 0
5b((-42 + -6b) + b(7 + b)) = 0
5b(-42 + -6b + (7 * b + b * b)) = 0
5b(-42 + -6b + (7b + b2)) = 0

Combine like terms: -6b + 7b = 1b
5b(-42 + 1b + b2) = 0
(-42 * 5b + 1b * 5b + b2 * 5b) = 0
(-210b + 5b2 + 5b3) = 0

Solving
-210b + 5b2 + 5b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b'.
5b(-42 + b + b2) = 0

Factor a trinomial.
5b((-7 + -1b)(6 + -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 '(-7 + -1b)' equal to zero and attempt to solve:

Simplifying
-7 + -1b = 0

Solving
-7 + -1b = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1b = 0 + 7
-1b = 0 + 7

Combine like terms: 0 + 7 = 7
-1b = 7

Divide each side by '-1'.
b = -7

Simplifying
b = -7
Subproblem 3
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, -7, 6}