b^2+11b+28b=0

Solution for b^2+11b+28b=0 equation:

Simplifying
b2 + 11b + 28b = 0

Reorder the terms:
11b + 28b + b2 = 0

Combine like terms: 11b + 28b = 39b
39b + b2 = 0

Solving
39b + b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(39 + b) = 0

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 '(39 + b)' equal to zero and attempt to solve:

Simplifying
39 + b = 0

Solving
39 + b = 0

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

Add '-39' to each side of the equation.
39 + -39 + b = 0 + -39

Combine like terms: 39 + -39 = 0
0 + b = 0 + -39
b = 0 + -39

Combine like terms: 0 + -39 = -39
b = -39

Simplifying
b = -39
Solution
b = {0, -39}