(b-4)(3b+2)=

Solution for (b-4)(3b+2)= equation:

Simplifying
(b + -4)(3b + 2) = 0

Reorder the terms:
(-4 + b)(3b + 2) = 0

Reorder the terms:
(-4 + b)(2 + 3b) = 0

Multiply (-4 + b) * (2 + 3b)
(-4(2 + 3b) + b(2 + 3b)) = 0
((2 * -4 + 3b * -4) + b(2 + 3b)) = 0
((-8 + -12b) + b(2 + 3b)) = 0
(-8 + -12b + (2 * b + 3b * b)) = 0
(-8 + -12b + (2b + 3b2)) = 0

Combine like terms: -12b + 2b = -10b
(-8 + -10b + 3b2) = 0

Solving
-8 + -10b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-2 + -3b)(4 + -1b) = 0

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

Simplifying
-2 + -3b = 0

Solving
-2 + -3b = 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 + -3b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3b = 0 + 2
-3b = 0 + 2

Combine like terms: 0 + 2 = 2
-3b = 2

Divide each side by '-3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
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 = {-0.6666666667, 4}