(3b-4)(b+6)=

Solution for (3b-4)(b+6)= equation:

Simplifying
(3b + -4)(b + 6) = 0

Reorder the terms:
(-4 + 3b)(b + 6) = 0

Reorder the terms:
(-4 + 3b)(6 + b) = 0

Multiply (-4 + 3b) * (6 + b)
(-4(6 + b) + 3b * (6 + b)) = 0
((6 * -4 + b * -4) + 3b * (6 + b)) = 0
((-24 + -4b) + 3b * (6 + b)) = 0
(-24 + -4b + (6 * 3b + b * 3b)) = 0
(-24 + -4b + (18b + 3b2)) = 0

Combine like terms: -4b + 18b = 14b
(-24 + 14b + 3b2) = 0

Solving
-24 + 14b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-6 + -1b)(4 + -3b) = 0

Subproblem 1
Set the factor '(-6 + -1b)' equal to zero and attempt to solve:

Simplifying
-6 + -1b = 0

Solving
-6 + -1b = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1b = 0 + 6
-1b = 0 + 6

Combine like terms: 0 + 6 = 6
-1b = 6

Divide each side by '-1'.
b = -6

Simplifying
b = -6
Subproblem 2
Set the factor '(4 + -3b)' equal to zero and attempt to solve:

Simplifying
4 + -3b = 0

Solving
4 + -3b = 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 + -3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3b = 0 + -4
-3b = 0 + -4

Combine like terms: 0 + -4 = -4
-3b = -4

Divide each side by '-3'.
b = 1.333333333

Simplifying
b = 1.333333333
Solution
b = {-6, 1.333333333}