(b-8)(2b+10)=

Solution for (b-8)(2b+10)= equation:

Simplifying
(b + -8)(2b + 10) = 0

Reorder the terms:
(-8 + b)(2b + 10) = 0

Reorder the terms:
(-8 + b)(10 + 2b) = 0

Multiply (-8 + b) * (10 + 2b)
(-8(10 + 2b) + b(10 + 2b)) = 0
((10 * -8 + 2b * -8) + b(10 + 2b)) = 0
((-80 + -16b) + b(10 + 2b)) = 0
(-80 + -16b + (10 * b + 2b * b)) = 0
(-80 + -16b + (10b + 2b2)) = 0

Combine like terms: -16b + 10b = -6b
(-80 + -6b + 2b2) = 0

Solving
-80 + -6b + 2b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + -3b + b2) = 0

Factor a trinomial.
2((-5 + -1b)(8 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1b)' equal to zero and attempt to solve:

Simplifying
-5 + -1b = 0

Solving
-5 + -1b = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1b = 0 + 5
-1b = 0 + 5

Combine like terms: 0 + 5 = 5
-1b = 5

Divide each side by '-1'.
b = -5

Simplifying
b = -5
Subproblem 2
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
Solution
b = {-5, 8}