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

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


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

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

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

Reorder the terms:
(22xy + -11xy + 2x2 + -121y2) = 0

Combine like terms: 22xy + -11xy = 11xy
(11xy + 2x2 + -121y2) = 0

Solving
11xy + 2x2 + -121y2 = 0

Solving for variable 'x'.

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


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

Simplifying
2x + -11y = 0

Solving
2x + -11y = 0

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

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

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

Divide each side by '2'.
x = 5.5y

Simplifying
x = 5.5y

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

Simplifying
x + 11y = 0

Solving
x + 11y = 0

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

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

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

Simplifying
x = -11y
Solution
x = {5.5y, -11y}

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