(4b+3)(b-12)=

Solution for (4b+3)(b-12)= equation:

Simplifying
(4b + 3)(b + -12) = 0

Reorder the terms:
(3 + 4b)(b + -12) = 0

Reorder the terms:
(3 + 4b)(-12 + b) = 0

Multiply (3 + 4b) * (-12 + b)
(3(-12 + b) + 4b * (-12 + b)) = 0
((-12 * 3 + b * 3) + 4b * (-12 + b)) = 0
((-36 + 3b) + 4b * (-12 + b)) = 0
(-36 + 3b + (-12 * 4b + b * 4b)) = 0
(-36 + 3b + (-48b + 4b2)) = 0

Combine like terms: 3b + -48b = -45b
(-36 + -45b + 4b2) = 0

Solving
-36 + -45b + 4b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -4b)(12 + -1b) = 0

Subproblem 1
Set the factor '(-3 + -4b)' equal to zero and attempt to solve:

Simplifying
-3 + -4b = 0

Solving
-3 + -4b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4b = 0 + 3

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

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

Divide each side by '-4'.
b = -0.75

Simplifying
b = -0.75
Subproblem 2
Set the factor '(12 + -1b)' equal to zero and attempt to solve:

Simplifying
12 + -1b = 0

Solving
12 + -1b = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1b = 0 + -12
-1b = 0 + -12

Combine like terms: 0 + -12 = -12
-1b = -12

Divide each side by '-1'.
b = 12

Simplifying
b = 12
Solution
b = {-0.75, 12}