(b-4)(3b-1)=0

Solution for (b-4)(3b-1)=0 equation:

Simplifying
(b + -4)(3b + -1) = 0

Reorder the terms:
(-4 + b)(3b + -1) = 0

Reorder the terms:
(-4 + b)(-1 + 3b) = 0

Multiply (-4 + b) * (-1 + 3b)
(-4(-1 + 3b) + b(-1 + 3b)) = 0
((-1 * -4 + 3b * -4) + b(-1 + 3b)) = 0
((4 + -12b) + b(-1 + 3b)) = 0
(4 + -12b + (-1 * b + 3b * b)) = 0
(4 + -12b + (-1b + 3b2)) = 0

Combine like terms: -12b + -1b = -13b
(4 + -13b + 3b2) = 0

Solving
4 + -13b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + -3b)(4 + -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 '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {0.3333333333, 4}