7b(b+13)=

Solution for 7b(b+13)= equation:

Simplifying
7b(b + 13) = 0

Reorder the terms:
7b(13 + b) = 0
(13 * 7b + b * 7b) = 0
(91b + 7b2) = 0

Solving
91b + 7b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '7b'.
7b(13 + b) = 0

Ignore the factor 7.
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 '(13 + b)' equal to zero and attempt to solve:

Simplifying
13 + b = 0

Solving
13 + b = 0

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

Add '-13' to each side of the equation.
13 + -13 + b = 0 + -13

Combine like terms: 13 + -13 = 0
0 + b = 0 + -13
b = 0 + -13

Combine like terms: 0 + -13 = -13
b = -13

Simplifying
b = -13
Solution
b = {0, -13}