2(b-3)(b+8)=

Solution for 2(b-3)(b+8)= equation:

Simplifying
2(b + -3)(b + 8) = 0

Reorder the terms:
2(-3 + b)(b + 8) = 0

Reorder the terms:
2(-3 + b)(8 + b) = 0

Multiply (-3 + b) * (8 + b)
2(-3(8 + b) + b(8 + b)) = 0
2((8 * -3 + b * -3) + b(8 + b)) = 0
2((-24 + -3b) + b(8 + b)) = 0
2(-24 + -3b + (8 * b + b * b)) = 0
2(-24 + -3b + (8b + b2)) = 0

Combine like terms: -3b + 8b = 5b
2(-24 + 5b + b2) = 0
(-24 * 2 + 5b * 2 + b2 * 2) = 0
(-48 + 10b + 2b2) = 0

Solving
-48 + 10b + 2b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 5b + b2) = 0

Factor a trinomial.
2((-8 + -1b)(3 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-8 + -1b)' equal to zero and attempt to solve:

Simplifying
-8 + -1b = 0

Solving
-8 + -1b = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1b = 0 + 8
-1b = 0 + 8

Combine like terms: 0 + 8 = 8
-1b = 8

Divide each side by '-1'.
b = -8

Simplifying
b = -8
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 = {-8, 3}