(b-7)*(b-2)=

Solution for (b-7)*(b-2)= equation:

Simplifying
(b + -7)(b + -2) = 0

Reorder the terms:
(-7 + b)(b + -2) = 0

Reorder the terms:
(-7 + b)(-2 + b) = 0

Multiply (-7 + b) * (-2 + b)
(-7(-2 + b) + b(-2 + b)) = 0
((-2 * -7 + b * -7) + b(-2 + b)) = 0
((14 + -7b) + b(-2 + b)) = 0
(14 + -7b + (-2 * b + b * b)) = 0
(14 + -7b + (-2b + b2)) = 0

Combine like terms: -7b + -2b = -9b
(14 + -9b + b2) = 0

Solving
14 + -9b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2 + -1b)(7 + -1b) = 0

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

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {2, 7}