(B+8)(B-6)=

Solution for (B+8)(B-6)= equation:

Simplifying
(B + 8)(B + -6) = 0

Reorder the terms:
(8 + B)(B + -6) = 0

Reorder the terms:
(8 + B)(-6 + B) = 0

Multiply (8 + B) * (-6 + B)
(8(-6 + B) + B(-6 + B)) = 0
((-6 * 8 + B * 8) + B(-6 + B)) = 0
((-48 + 8B) + B(-6 + B)) = 0
(-48 + 8B + (-6 * B + B * B)) = 0
(-48 + 8B + (-6B + B2)) = 0

Combine like terms: 8B + -6B = 2B
(-48 + 2B + B2) = 0

Solving
-48 + 2B + B2 = 0

Solving for variable 'B'.

Factor a trinomial.
(-8 + -1B)(6 + -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 '(6 + -1B)' equal to zero and attempt to solve:

Simplifying
6 + -1B = 0

Solving
6 + -1B = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1B = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1B = 0 + -6
-1B = 0 + -6

Combine like terms: 0 + -6 = -6
-1B = -6

Divide each side by '-1'.
B = 6

Simplifying
B = 6
Solution
B = {-8, 6}