7b(3b+11)=

Solution for 7b(3b+11)= equation:

Simplifying
7b(3b + 11) = 0

Reorder the terms:
7b(11 + 3b) = 0
(11 * 7b + 3b * 7b) = 0
(77b + 21b2) = 0

Solving
77b + 21b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '7b'.
7b(11 + 3b) = 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 '(11 + 3b)' equal to zero and attempt to solve:

Simplifying
11 + 3b = 0

Solving
11 + 3b = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3b = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3b = 0 + -11
3b = 0 + -11

Combine like terms: 0 + -11 = -11
3b = -11

Divide each side by '3'.
b = -3.666666667

Simplifying
b = -3.666666667
Solution
b = {0, -3.666666667}