7b(b+1)=

Solution for 7b(b+1)= equation:

Simplifying
7b(b + 1) = 0

Reorder the terms:
7b(1 + b) = 0
(1 * 7b + b * 7b) = 0
(7b + 7b2) = 0

Solving
7b + 7b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '7b'.
7b(1 + 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 '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

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

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

Simplifying
b = -1
Solution
b = {0, -1}