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

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

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

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

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

Multiply (8 + b) * (-2 + b)
(8(-2 + b) + b(-2 + b)) = 0
((-2 * 8 + b * 8) + b(-2 + b)) = 0
((-16 + 8b) + b(-2 + b)) = 0
(-16 + 8b + (-2 * b + b * b)) = 0
(-16 + 8b + (-2b + b2)) = 0

Combine like terms: 8b + -2b = 6b
(-16 + 6b + b2) = 0

Solving
-16 + 6b + b2 = 0

Solving for variable 'b'.

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

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 '(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
Solution
b = {-8, 2}