(b-6)(b-4)=0

Solution for (b-6)(b-4)=0 equation:

Simplifying
(b + -6)(b + -4) = 0

Reorder the terms:
(-6 + b)(b + -4) = 0

Reorder the terms:
(-6 + b)(-4 + b) = 0

Multiply (-6 + b) * (-4 + b)
(-6(-4 + b) + b(-4 + b)) = 0
((-4 * -6 + b * -6) + b(-4 + b)) = 0
((24 + -6b) + b(-4 + b)) = 0
(24 + -6b + (-4 * b + b * b)) = 0
(24 + -6b + (-4b + b2)) = 0

Combine like terms: -6b + -4b = -10b
(24 + -10b + b2) = 0

Solving
24 + -10b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4 + -1b)(6 + -1b) = 0

Subproblem 1
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
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 = {4, 6}