(11x+5y)(11x+5y)=0

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Solution for (11x+5y)(11x+5y)=0 equation: 


Simplifying
(11x + 5y)(11x + 5y) = 0

Multiply (11x + 5y) * (11x + 5y)
(11x * (11x + 5y) + 5y * (11x + 5y)) = 0
((11x * 11x + 5y * 11x) + 5y * (11x + 5y)) = 0

Reorder the terms:
((55xy + 121x2) + 5y * (11x + 5y)) = 0
((55xy + 121x2) + 5y * (11x + 5y)) = 0
(55xy + 121x2 + (11x * 5y + 5y * 5y)) = 0
(55xy + 121x2 + (55xy + 25y2)) = 0

Reorder the terms:
(55xy + 55xy + 121x2 + 25y2) = 0

Combine like terms: 55xy + 55xy = 110xy
(110xy + 121x2 + 25y2) = 0

Solving
110xy + 121x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11x + 5y)(11x + 5y) = 0


Subproblem 1
Set the factor '(11x + 5y)' equal to zero and attempt to solve:

Simplifying
11x + 5y = 0

Solving
11x + 5y = 0

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

Add '-5y' to each side of the equation.
11x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
11x + 0 = 0 + -5y
11x = 0 + -5y
Remove the zero:
11x = -5y

Divide each side by '11'.
x = -0.4545454545y

Simplifying
x = -0.4545454545y

Subproblem 2
Set the factor '(11x + 5y)' equal to zero and attempt to solve:

Simplifying
11x + 5y = 0

Solving
11x + 5y = 0

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

Add '-5y' to each side of the equation.
11x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
11x + 0 = 0 + -5y
11x = 0 + -5y
Remove the zero:
11x = -5y

Divide each side by '11'.
x = -0.4545454545y

Simplifying
x = -0.4545454545y
Solution
x = {-0.4545454545y, -0.4545454545y}

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