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

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

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

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

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

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

Combine like terms: -3b + -5b = -8b
(5 + -8b + 3b2) = 0

Solving
5 + -8b + 3b2 = 0

Solving for variable 'b'.

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

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

Simplifying
1 + -1b = 0

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

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

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

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

Simplifying
b = 1
Subproblem 2
Set the factor '(5 + -3b)' equal to zero and attempt to solve:

Simplifying
5 + -3b = 0

Solving
5 + -3b = 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 + -3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3b = 0 + -5
-3b = 0 + -5

Combine like terms: 0 + -5 = -5
-3b = -5

Divide each side by '-3'.
b = 1.666666667

Simplifying
b = 1.666666667
Solution
b = {1, 1.666666667}