(x+y)(9x^2-4xy+6y^2)=0

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Solution for (x+y)(9x^2-4xy+6y^2)=0 equation: 


Simplifying
(x + y)(9x2 + -4xy + 6y2) = 0

Reorder the terms:
(x + y)(-4xy + 9x2 + 6y2) = 0

Multiply (x + y) * (-4xy + 9x2 + 6y2)
(x(-4xy + 9x2 + 6y2) + y(-4xy + 9x2 + 6y2)) = 0
((-4xy * x + 9x2 * x + 6y2 * x) + y(-4xy + 9x2 + 6y2)) = 0

Reorder the terms:
((6xy2 + -4x2y + 9x3) + y(-4xy + 9x2 + 6y2)) = 0
((6xy2 + -4x2y + 9x3) + y(-4xy + 9x2 + 6y2)) = 0
(6xy2 + -4x2y + 9x3 + (-4xy * y + 9x2 * y + 6y2 * y)) = 0
(6xy2 + -4x2y + 9x3 + (-4xy2 + 9x2y + 6y3)) = 0

Reorder the terms:
(6xy2 + -4xy2 + -4x2y + 9x2y + 9x3 + 6y3) = 0

Combine like terms: 6xy2 + -4xy2 = 2xy2
(2xy2 + -4x2y + 9x2y + 9x3 + 6y3) = 0

Combine like terms: -4x2y + 9x2y = 5x2y
(2xy2 + 5x2y + 9x3 + 6y3) = 0

Solving
2xy2 + 5x2y + 9x3 + 6y3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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