(b-11)(b+4)=

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

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

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

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

Multiply (-11 + b) * (4 + b)
(-11(4 + b) + b(4 + b)) = 0
((4 * -11 + b * -11) + b(4 + b)) = 0
((-44 + -11b) + b(4 + b)) = 0
(-44 + -11b + (4 * b + b * b)) = 0
(-44 + -11b + (4b + b2)) = 0

Combine like terms: -11b + 4b = -7b
(-44 + -7b + b2) = 0

Solving
-44 + -7b + b2 = 0

Solving for variable 'b'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(11 + -1b)' equal to zero and attempt to solve:

Simplifying
11 + -1b = 0

Solving
11 + -1b = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1b = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1b = 0 + -11
-1b = 0 + -11

Combine like terms: 0 + -11 = -11
-1b = -11

Divide each side by '-1'.
b = 11

Simplifying
b = 11
Solution
b = {-4, 11}