(3x+11)x(3x+11)=

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Solution for (3x+11)x(3x+11)= equation: 


Simplifying
(3x + 11) * x(3x + 11) = 0

Reorder the terms:
(11 + 3x) * x(3x + 11) = 0

Reorder the terms:
(11 + 3x) * x(11 + 3x) = 0

Reorder the terms for easier multiplication:
x(11 + 3x)(11 + 3x) = 0

Multiply (11 + 3x) * (11 + 3x)
x(11(11 + 3x) + 3x * (11 + 3x)) = 0
x((11 * 11 + 3x * 11) + 3x * (11 + 3x)) = 0
x((121 + 33x) + 3x * (11 + 3x)) = 0
x(121 + 33x + (11 * 3x + 3x * 3x)) = 0
x(121 + 33x + (33x + 9x2)) = 0

Combine like terms: 33x + 33x = 66x
x(121 + 66x + 9x2) = 0
(121 * x + 66x * x + 9x2 * x) = 0
(121x + 66x2 + 9x3) = 0

Solving
121x + 66x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(121 + 66x + 9x2) = 0

Factor a trinomial.
x((11 + 3x)(11 + 3x)) = 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 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 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 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 3
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 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 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {0, -3.666666667, -3.666666667}

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