7b(b+2)(-2b)=

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

Simplifying
7b(b + 2)(-2b) = 0

Reorder the terms:
7b(2 + b)(-2b) = 0

Remove parenthesis around (-2b)
7b(2 + b) * -2b = 0

Reorder the terms for easier multiplication:
7 * -2b * b(2 + b) = 0

Multiply 7 * -2
-14b * b(2 + b) = 0

Multiply b * b
-14b2(2 + b) = 0
(2 * -14b2 + b * -14b2) = 0
(-28b2 + -14b3) = 0

Solving
-28b2 + -14b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-14b2'.
-14b2(2 + b) = 0

Ignore the factor -14.
Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

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

Simplifying
b2 = 0

Take the square root of each side:
b = {0}
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

Add '-2' to each side of the equation.
2 + -2 + b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

Simplifying
b = -2
Solution
b = {0, -2}