(b-2)(b-7)=

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

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

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

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

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

Combine like terms: -2b + -7b = -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}