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

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


Simplifying
(x + 11)(x + 1) * x = 0

Reorder the terms:
(11 + x)(x + 1) * x = 0

Reorder the terms:
(11 + x)(1 + x) * x = 0

Reorder the terms for easier multiplication:
x(11 + x)(1 + x) = 0

Multiply (11 + x) * (1 + x)
x(11(1 + x) + x(1 + x)) = 0
x((1 * 11 + x * 11) + x(1 + x)) = 0
x((11 + 11x) + x(1 + x)) = 0
x(11 + 11x + (1 * x + x * x)) = 0
x(11 + 11x + (1x + x2)) = 0

Combine like terms: 11x + 1x = 12x
x(11 + 12x + x2) = 0
(11 * x + 12x * x + x2 * x) = 0
(11x + 12x2 + x3) = 0

Solving
11x + 12x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 12x + x2) = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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 3
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 = {0, -11, -1}

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