(3b-1)(b-5)=0

Solution for (3b-1)(b-5)=0 equation:

Simplifying
(3b + -1)(b + -5) = 0

Reorder the terms:
(-1 + 3b)(b + -5) = 0

Reorder the terms:
(-1 + 3b)(-5 + b) = 0

Multiply (-1 + 3b) * (-5 + b)
(-1(-5 + b) + 3b * (-5 + b)) = 0
((-5 * -1 + b * -1) + 3b * (-5 + b)) = 0
((5 + -1b) + 3b * (-5 + b)) = 0
(5 + -1b + (-5 * 3b + b * 3b)) = 0
(5 + -1b + (-15b + 3b2)) = 0

Combine like terms: -1b + -15b = -16b
(5 + -16b + 3b2) = 0

Solving
5 + -16b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + -3b)(5 + -1b) = 0

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

Simplifying
1 + -3b = 0

Solving
1 + -3b = 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 + -3b = 0 + -1

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

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

Divide each side by '-3'.
b = 0.3333333333

Simplifying
b = 0.3333333333
Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {0.3333333333, 5}