(x+11)(x+1)=56

Solution for (x+11)(x+1)=56 equation:

Simplifying
(x + 11)(x + 1) = 56

Reorder the terms:
(11 + x)(x + 1) = 56

Reorder the terms:
(11 + x)(1 + x) = 56

Multiply (11 + x) * (1 + x)
(11(1 + x) + x(1 + x)) = 56
((1 * 11 + x * 11) + x(1 + x)) = 56
((11 + 11x) + x(1 + x)) = 56
(11 + 11x + (1 * x + x * x)) = 56
(11 + 11x + (1x + x2)) = 56

Combine like terms: 11x + 1x = 12x
(11 + 12x + x2) = 56

Solving
11 + 12x + x2 = 56

Solving for variable 'x'.

Reorder the terms:
11 + -56 + 12x + x2 = 56 + -56

Combine like terms: 11 + -56 = -45
-45 + 12x + x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-45 + 12x + x2 = 0

Factor a trinomial.
(-15 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-15, 3}