(2b-18)(18b-2)=0

Solution for (2b-18)(18b-2)=0 equation:

Simplifying
(2b + -18)(18b + -2) = 0

Reorder the terms:
(-18 + 2b)(18b + -2) = 0

Reorder the terms:
(-18 + 2b)(-2 + 18b) = 0

Multiply (-18 + 2b) * (-2 + 18b)
(-18(-2 + 18b) + 2b * (-2 + 18b)) = 0
((-2 * -18 + 18b * -18) + 2b * (-2 + 18b)) = 0
((36 + -324b) + 2b * (-2 + 18b)) = 0
(36 + -324b + (-2 * 2b + 18b * 2b)) = 0
(36 + -324b + (-4b + 36b2)) = 0

Combine like terms: -324b + -4b = -328b
(36 + -328b + 36b2) = 0

Solving
36 + -328b + 36b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -82b + 9b2) = 0

Factor a trinomial.
4((1 + -9b)(9 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -9b)' equal to zero and attempt to solve:

Simplifying
1 + -9b = 0

Solving
1 + -9b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -9b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9b = 0 + -1
-9b = 0 + -1

Combine like terms: 0 + -1 = -1
-9b = -1

Divide each side by '-9'.
b = 0.1111111111

Simplifying
b = 0.1111111111
Subproblem 2
Set the factor '(9 + -1b)' equal to zero and attempt to solve:

Simplifying
9 + -1b = 0

Solving
9 + -1b = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1b = 0 + -9
-1b = 0 + -9

Combine like terms: 0 + -9 = -9
-1b = -9

Divide each side by '-1'.
b = 9

Simplifying
b = 9
Solution
b = {0.1111111111, 9}