(y+9x)(y+9x)=

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Solution for (y+9x)(y+9x)= equation: 


Simplifying
(y + 9x)(y + 9x) = 0

Reorder the terms:
(9x + y)(y + 9x) = 0

Reorder the terms:
(9x + y)(9x + y) = 0

Multiply (9x + y) * (9x + y)
(9x * (9x + y) + y(9x + y)) = 0
((9x * 9x + y * 9x) + y(9x + y)) = 0

Reorder the terms:
((9xy + 81x2) + y(9x + y)) = 0
((9xy + 81x2) + y(9x + y)) = 0
(9xy + 81x2 + (9x * y + y * y)) = 0
(9xy + 81x2 + (9xy + y2)) = 0

Reorder the terms:
(9xy + 9xy + 81x2 + y2) = 0

Combine like terms: 9xy + 9xy = 18xy
(18xy + 81x2 + y2) = 0

Solving
18xy + 81x2 + y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9x + y)(9x + y) = 0


Subproblem 1
Set the factor '(9x + y)' equal to zero and attempt to solve:

Simplifying
9x + y = 0

Solving
9x + y = 0

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

Add '-1y' to each side of the equation.
9x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
9x + 0 = 0 + -1y
9x = 0 + -1y
Remove the zero:
9x = -1y

Divide each side by '9'.
x = -0.1111111111y

Simplifying
x = -0.1111111111y

Subproblem 2
Set the factor '(9x + y)' equal to zero and attempt to solve:

Simplifying
9x + y = 0

Solving
9x + y = 0

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

Add '-1y' to each side of the equation.
9x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
9x + 0 = 0 + -1y
9x = 0 + -1y
Remove the zero:
9x = -1y

Divide each side by '9'.
x = -0.1111111111y

Simplifying
x = -0.1111111111y
Solution
x = {-0.1111111111y, -0.1111111111y}

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