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

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

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

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

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

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

Combine like terms: -8b + 6b = -2b
(-24 + -2b + 2b2) = 0

Solving
-24 + -2b + 2b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -1b + b2) = 0

Factor a trinomial.
2((-3 + -1b)(4 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -1b)' equal to zero and attempt to solve:

Simplifying
-3 + -1b = 0

Solving
-3 + -1b = 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 + -1b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1b = 0 + 3
-1b = 0 + 3

Combine like terms: 0 + 3 = 3
-1b = 3

Divide each side by '-1'.
b = -3

Simplifying
b = -3
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-3, 4}