(-3x-5y)(4x^2+3xy+y^2)=0

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Solution for (-3x-5y)(4x^2+3xy+y^2)=0 equation: 


Simplifying
(-3x + -5y)(4x2 + 3xy + y2) = 0

Reorder the terms:
(-3x + -5y)(3xy + 4x2 + y2) = 0

Multiply (-3x + -5y) * (3xy + 4x2 + y2)
(-3x * (3xy + 4x2 + y2) + -5y * (3xy + 4x2 + y2)) = 0
((3xy * -3x + 4x2 * -3x + y2 * -3x) + -5y * (3xy + 4x2 + y2)) = 0

Reorder the terms:
((-3xy2 + -9x2y + -12x3) + -5y * (3xy + 4x2 + y2)) = 0
((-3xy2 + -9x2y + -12x3) + -5y * (3xy + 4x2 + y2)) = 0
(-3xy2 + -9x2y + -12x3 + (3xy * -5y + 4x2 * -5y + y2 * -5y)) = 0
(-3xy2 + -9x2y + -12x3 + (-15xy2 + -20x2y + -5y3)) = 0

Reorder the terms:
(-3xy2 + -15xy2 + -9x2y + -20x2y + -12x3 + -5y3) = 0

Combine like terms: -3xy2 + -15xy2 = -18xy2
(-18xy2 + -9x2y + -20x2y + -12x3 + -5y3) = 0

Combine like terms: -9x2y + -20x2y = -29x2y
(-18xy2 + -29x2y + -12x3 + -5y3) = 0

Solving
-18xy2 + -29x2y + -12x3 + -5y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(18xy2 + 29x2y + 12x3 + 5y3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(18xy2 + 29x2y + 12x3 + 5y3)' equal to zero and attempt to solve:

Simplifying
18xy2 + 29x2y + 12x3 + 5y3 = 0

Solving
18xy2 + 29x2y + 12x3 + 5y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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