(X+11)(X+1)=

Solution for (X+11)(X+1)= equation:

Simplifying
(X + 11)(X + 1) = 0

Reorder the terms:
(11 + X)(X + 1) = 0

Reorder the terms:
(11 + X)(1 + X) = 0

Multiply (11 + X) * (1 + X)
(11(1 + X) + X(1 + X)) = 0
((1 * 11 + X * 11) + X(1 + X)) = 0
((11 + 11X) + X(1 + X)) = 0
(11 + 11X + (1 * X + X * X)) = 0
(11 + 11X + (1X + X2)) = 0

Combine like terms: 11X + 1X = 12X
(11 + 12X + X2) = 0

Solving
11 + 12X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(11 + X)(1 + X) = 0

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

Simplifying
11 + X = 0

Solving
11 + X = 0

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

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

Combine like terms: 11 + -11 = 0
0 + X = 0 + -11
X = 0 + -11

Combine like terms: 0 + -11 = -11
X = -11

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

Simplifying
1 + X = 0

Solving
1 + X = 0

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

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

Combine like terms: 1 + -1 = 0
0 + X = 0 + -1
X = 0 + -1

Combine like terms: 0 + -1 = -1
X = -1

Simplifying
X = -1
Solution
X = {-11, -1}