8x^2+11xy+3y^2=0

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Solution for 8x^2+11xy+3y^2=0 equation: 


Simplifying
8x2 + 11xy + 3y2 = 0

Reorder the terms:
11xy + 8x2 + 3y2 = 0

Solving
11xy + 8x2 + 3y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8x + 3y)(x + y) = 0


Subproblem 1
Set the factor '(8x + 3y)' equal to zero and attempt to solve:

Simplifying
8x + 3y = 0

Solving
8x + 3y = 0

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

Add '-3y' to each side of the equation.
8x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
8x + 0 = 0 + -3y
8x = 0 + -3y
Remove the zero:
8x = -3y

Divide each side by '8'.
x = -0.375y

Simplifying
x = -0.375y

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

Simplifying
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y
Solution
x = {-0.375y, -1y}

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