(b-6)(b-3)=

Solution for (b-6)(b-3)= equation:

Simplifying
(b + -6)(b + -3) = 0

Reorder the terms:
(-6 + b)(b + -3) = 0

Reorder the terms:
(-6 + b)(-3 + b) = 0

Multiply (-6 + b) * (-3 + b)
(-6(-3 + b) + b(-3 + b)) = 0
((-3 * -6 + b * -6) + b(-3 + b)) = 0
((18 + -6b) + b(-3 + b)) = 0
(18 + -6b + (-3 * b + b * b)) = 0
(18 + -6b + (-3b + b2)) = 0

Combine like terms: -6b + -3b = -9b
(18 + -9b + b2) = 0

Solving
18 + -9b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + -1b)(6 + -1b) = 0

Subproblem 1
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
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 = {3, 6}