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

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


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

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

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

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

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

Solving
44xy + 121x2 + 4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11x + 2y)(11x + 2y) = 0


Subproblem 1
Set the factor '(11x + 2y)' equal to zero and attempt to solve:

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

Simplifying
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 = {-0.1818181818y, -0.1818181818y}

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