(2b+4)(4b+6)=

Solution for (2b+4)(4b+6)= equation:

Simplifying
(2b + 4)(4b + 6) = 0

Reorder the terms:
(4 + 2b)(4b + 6) = 0

Reorder the terms:
(4 + 2b)(6 + 4b) = 0

Multiply (4 + 2b) * (6 + 4b)
(4(6 + 4b) + 2b * (6 + 4b)) = 0
((6 * 4 + 4b * 4) + 2b * (6 + 4b)) = 0
((24 + 16b) + 2b * (6 + 4b)) = 0
(24 + 16b + (6 * 2b + 4b * 2b)) = 0
(24 + 16b + (12b + 8b2)) = 0

Combine like terms: 16b + 12b = 28b
(24 + 28b + 8b2) = 0

Solving
24 + 28b + 8b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 7b + 2b2) = 0

Factor a trinomial.
4((2 + b)(3 + 2b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

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

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

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

Simplifying
b = -2
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 = {-2, -1.5}