y*y+6xy+9x*x=

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Solution for y*y+6xy+9x*x= equation: 


Simplifying
y * y + 6xy + 9x * x = 0

Multiply y * y
y2 + 6xy + 9x * x = 0

Multiply x * x
y2 + 6xy + 9x2 = 0

Reorder the terms:
6xy + 9x2 + y2 = 0

Solving
6xy + 9x2 + y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + y)(3x + y) = 0


Subproblem 1
Set the factor '(3x + y)' equal to zero and attempt to solve:

Simplifying
3x + y = 0

Solving
3x + y = 0

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

Add '-1y' to each side of the equation.
3x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
3x + 0 = 0 + -1y
3x = 0 + -1y
Remove the zero:
3x = -1y

Divide each side by '3'.
x = -0.3333333333y

Simplifying
x = -0.3333333333y

Subproblem 2
Set the factor '(3x + y)' equal to zero and attempt to solve:

Simplifying
3x + y = 0

Solving
3x + y = 0

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

Add '-1y' to each side of the equation.
3x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
3x + 0 = 0 + -1y
3x = 0 + -1y
Remove the zero:
3x = -1y

Divide each side by '3'.
x = -0.3333333333y

Simplifying
x = -0.3333333333y
Solution
x = {-0.3333333333y, -0.3333333333y}

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