(11x+2y)x(11x+2y)=

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Solution for (11x+2y)x(11x+2y)= equation: 


Simplifying
(11x + 2y) * x(11x + 2y) = 0

Reorder the terms for easier multiplication:
x(11x + 2y)(11x + 2y) = 0

Multiply (11x + 2y) * (11x + 2y)
x(11x * (11x + 2y) + 2y * (11x + 2y)) = 0
x((11x * 11x + 2y * 11x) + 2y * (11x + 2y)) = 0

Reorder the terms:
x((22xy + 121x2) + 2y * (11x + 2y)) = 0
x((22xy + 121x2) + 2y * (11x + 2y)) = 0
x(22xy + 121x2 + (11x * 2y + 2y * 2y)) = 0
x(22xy + 121x2 + (22xy + 4y2)) = 0

Reorder the terms:
x(22xy + 22xy + 121x2 + 4y2) = 0

Combine like terms: 22xy + 22xy = 44xy
x(44xy + 121x2 + 4y2) = 0
(44xy * x + 121x2 * x + 4y2 * x) = 0

Reorder the terms:
(4xy2 + 44x2y + 121x3) = 0
(4xy2 + 44x2y + 121x3) = 0

Solving
4xy2 + 44x2y + 121x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4y2 + 44xy + 121x2) = 0

Factor a trinomial.
x((2y + 11x)(2y + 11x)) = 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 '(2y + 11x)' equal to zero and attempt to solve:

Simplifying
2y + 11x = 0

Reorder the terms:
11x + 2y = 0

Solving
11x + 2y = 0

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

Add '-2y' to each side of the equation.
11x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
11x + 0 = 0 + -2y
11x = 0 + -2y
Remove the zero:
11x = -2y

Divide each side by '11'.
x = -0.1818181818y

Simplifying
x = -0.1818181818y

Subproblem 3
Set the factor '(2y + 11x)' equal to zero and attempt to solve:

Simplifying
2y + 11x = 0

Reorder the terms:
11x + 2y = 0

Solving
11x + 2y = 0

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

Add '-2y' to each side of the equation.
11x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
11x + 0 = 0 + -2y
11x = 0 + -2y
Remove the zero:
11x = -2y

Divide each side by '11'.
x = -0.1818181818y

Simplifying
x = -0.1818181818y
Solution
x = {0, -0.1818181818y, -0.1818181818y}

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