xy(6x-y)(x-3y)(x-6y)=

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Solution for xy(6x-y)(x-3y)(x-6y)= equation: 


Simplifying
xy(6x + -1y)(x + -3y)(x + -6y) = 0

Multiply (6x + -1y) * (x + -3y)
xy(6x * (x + -3y) + -1y * (x + -3y))(x + -6y) = 0
xy((x * 6x + -3y * 6x) + -1y * (x + -3y))(x + -6y) = 0

Reorder the terms:
xy((-18xy + 6x2) + -1y * (x + -3y))(x + -6y) = 0
xy((-18xy + 6x2) + -1y * (x + -3y))(x + -6y) = 0
xy(-18xy + 6x2 + (x * -1y + -3y * -1y))(x + -6y) = 0
xy(-18xy + 6x2 + (-1xy + 3y2))(x + -6y) = 0

Reorder the terms:
xy(-18xy + -1xy + 6x2 + 3y2)(x + -6y) = 0

Combine like terms: -18xy + -1xy = -19xy
xy(-19xy + 6x2 + 3y2)(x + -6y) = 0

Multiply (-19xy + 6x2 + 3y2) * (x + -6y)
xy(-19xy * (x + -6y) + 6x2 * (x + -6y) + 3y2 * (x + -6y)) = 0
xy((x * -19xy + -6y * -19xy) + 6x2 * (x + -6y) + 3y2 * (x + -6y)) = 0

Reorder the terms:
xy((114xy2 + -19x2y) + 6x2 * (x + -6y) + 3y2 * (x + -6y)) = 0
xy((114xy2 + -19x2y) + 6x2 * (x + -6y) + 3y2 * (x + -6y)) = 0
xy(114xy2 + -19x2y + (x * 6x2 + -6y * 6x2) + 3y2 * (x + -6y)) = 0

Reorder the terms:
xy(114xy2 + -19x2y + (-36x2y + 6x3) + 3y2 * (x + -6y)) = 0
xy(114xy2 + -19x2y + (-36x2y + 6x3) + 3y2 * (x + -6y)) = 0
xy(114xy2 + -19x2y + -36x2y + 6x3 + (x * 3y2 + -6y * 3y2)) = 0
xy(114xy2 + -19x2y + -36x2y + 6x3 + (3xy2 + -18y3)) = 0

Reorder the terms:
xy(114xy2 + 3xy2 + -19x2y + -36x2y + 6x3 + -18y3) = 0

Combine like terms: 114xy2 + 3xy2 = 117xy2
xy(117xy2 + -19x2y + -36x2y + 6x3 + -18y3) = 0

Combine like terms: -19x2y + -36x2y = -55x2y
xy(117xy2 + -55x2y + 6x3 + -18y3) = 0
(117xy2 * xy + -55x2y * xy + 6x3 * xy + -18y3 * xy) = 0

Reorder the terms:
(-18xy4 + 117x2y3 + -55x3y2 + 6x4y) = 0
(-18xy4 + 117x2y3 + -55x3y2 + 6x4y) = 0

Solving
-18xy4 + 117x2y3 + -55x3y2 + 6x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-18y3 + 117xy2 + -55x2y + 6x3) = 0


Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-18y3 + 117xy2 + -55x2y + 6x3)' equal to zero and attempt to solve:

Simplifying
-18y3 + 117xy2 + -55x2y + 6x3 = 0

Reorder the terms:
117xy2 + -55x2y + 6x3 + -18y3 = 0

Solving
117xy2 + -55x2y + 6x3 + -18y3 = 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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