(b-6)(b-8)=

Solution for (b-6)(b-8)= equation:

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

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

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

Multiply (-6 + b) * (-8 + b)
(-6(-8 + b) + b(-8 + b)) = 0
((-8 * -6 + b * -6) + b(-8 + b)) = 0
((48 + -6b) + b(-8 + b)) = 0
(48 + -6b + (-8 * b + b * b)) = 0
(48 + -6b + (-8b + b2)) = 0

Combine like terms: -6b + -8b = -14b
(48 + -14b + b2) = 0

Solving
48 + -14b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(6 + -1b)(8 + -1b) = 0

Subproblem 1
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
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 = {6, 8}