14b(4b+6)=

Solution for 14b(4b+6)= equation:

Simplifying
14b(4b + 6) = 0

Reorder the terms:
14b(6 + 4b) = 0
(6 * 14b + 4b * 14b) = 0
(84b + 56b2) = 0

Solving
84b + 56b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '28b'.
28b(3 + 2b) = 0

Ignore the factor 28.
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 '(3 + 2b)' equal to zero and attempt to solve:

Simplifying
3 + 2b = 0

Solving
3 + 2b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2b = 0 + -3
2b = 0 + -3

Combine like terms: 0 + -3 = -3
2b = -3

Divide each side by '2'.
b = -1.5

Simplifying
b = -1.5
Solution
b = {0, -1.5}