4(11b+4)(b-5)=

Solution for 4(11b+4)(b-5)= equation:

Simplifying
4(11b + 4)(b + -5) = 0

Reorder the terms:
4(4 + 11b)(b + -5) = 0

Reorder the terms:
4(4 + 11b)(-5 + b) = 0

Multiply (4 + 11b) * (-5 + b)
4(4(-5 + b) + 11b * (-5 + b)) = 0
4((-5 * 4 + b * 4) + 11b * (-5 + b)) = 0
4((-20 + 4b) + 11b * (-5 + b)) = 0
4(-20 + 4b + (-5 * 11b + b * 11b)) = 0
4(-20 + 4b + (-55b + 11b2)) = 0

Combine like terms: 4b + -55b = -51b
4(-20 + -51b + 11b2) = 0
(-20 * 4 + -51b * 4 + 11b2 * 4) = 0
(-80 + -204b + 44b2) = 0

Solving
-80 + -204b + 44b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + -51b + 11b2) = 0

Factor a trinomial.
4((-4 + -11b)(5 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-4 + -11b)' equal to zero and attempt to solve:

Simplifying
-4 + -11b = 0

Solving
-4 + -11b = 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 + -11b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -11b = 0 + 4
-11b = 0 + 4

Combine like terms: 0 + 4 = 4
-11b = 4

Divide each side by '-11'.
b = -0.3636363636

Simplifying
b = -0.3636363636
Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 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 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {-0.3636363636, 5}