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

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

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

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

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

Multiply (-6 + 2b) * (2 + b)
(-6(2 + b) + 2b * (2 + b)) = 0
((2 * -6 + b * -6) + 2b * (2 + b)) = 0
((-12 + -6b) + 2b * (2 + b)) = 0
(-12 + -6b + (2 * 2b + b * 2b)) = 0
(-12 + -6b + (4b + 2b2)) = 0

Combine like terms: -6b + 4b = -2b
(-12 + -2b + 2b2) = 0

Solving
-12 + -2b + 2b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -1b + b2) = 0

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

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

Simplifying
-2 + -1b = 0

Solving
-2 + -1b = 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 + -1b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1b = 0 + 2
-1b = 0 + 2

Combine like terms: 0 + 2 = 2
-1b = 2

Divide each side by '-1'.
b = -2

Simplifying
b = -2
Subproblem 2
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
Solution
b = {-2, 3}