(10x+11y)(10x+11y)=

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Solution for (10x+11y)(10x+11y)= equation: 


Simplifying
(10x + 11y)(10x + 11y) = 0

Multiply (10x + 11y) * (10x + 11y)
(10x * (10x + 11y) + 11y * (10x + 11y)) = 0
((10x * 10x + 11y * 10x) + 11y * (10x + 11y)) = 0

Reorder the terms:
((110xy + 100x2) + 11y * (10x + 11y)) = 0
((110xy + 100x2) + 11y * (10x + 11y)) = 0
(110xy + 100x2 + (10x * 11y + 11y * 11y)) = 0
(110xy + 100x2 + (110xy + 121y2)) = 0

Reorder the terms:
(110xy + 110xy + 100x2 + 121y2) = 0

Combine like terms: 110xy + 110xy = 220xy
(220xy + 100x2 + 121y2) = 0

Solving
220xy + 100x2 + 121y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10x + 11y)(10x + 11y) = 0


Subproblem 1
Set the factor '(10x + 11y)' equal to zero and attempt to solve:

Simplifying
10x + 11y = 0

Solving
10x + 11y = 0

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

Add '-11y' to each side of the equation.
10x + 11y + -11y = 0 + -11y

Combine like terms: 11y + -11y = 0
10x + 0 = 0 + -11y
10x = 0 + -11y
Remove the zero:
10x = -11y

Divide each side by '10'.
x = -1.1y

Simplifying
x = -1.1y

Subproblem 2
Set the factor '(10x + 11y)' equal to zero and attempt to solve:

Simplifying
10x + 11y = 0

Solving
10x + 11y = 0

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

Add '-11y' to each side of the equation.
10x + 11y + -11y = 0 + -11y

Combine like terms: 11y + -11y = 0
10x + 0 = 0 + -11y
10x = 0 + -11y
Remove the zero:
10x = -11y

Divide each side by '10'.
x = -1.1y

Simplifying
x = -1.1y
Solution
x = {-1.1y, -1.1y}

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