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

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


Simplifying
(x6 + 9xy)(-1x + 4y) = 0

Reorder the terms:
(9xy + x6)(-1x + 4y) = 0

Multiply (9xy + x6) * (-1x + 4y)
(9xy * (-1x + 4y) + x6(-1x + 4y)) = 0
((-1x * 9xy + 4y * 9xy) + x6(-1x + 4y)) = 0

Reorder the terms:
((36xy2 + -9x2y) + x6(-1x + 4y)) = 0
((36xy2 + -9x2y) + x6(-1x + 4y)) = 0
(36xy2 + -9x2y + (-1x * x6 + 4y * x6)) = 0

Reorder the terms:
(36xy2 + -9x2y + (4x6y + -1x7)) = 0
(36xy2 + -9x2y + (4x6y + -1x7)) = 0
(36xy2 + -9x2y + 4x6y + -1x7) = 0

Solving
36xy2 + -9x2y + 4x6y + -1x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(36y2 + -9xy + 4x5y + -1x6) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(36y2 + -9xy + 4x5y + -1x6)' equal to zero and attempt to solve:

Simplifying
36y2 + -9xy + 4x5y + -1x6 = 0

Reorder the terms:
-9xy + 4x5y + -1x6 + 36y2 = 0

Solving
-9xy + 4x5y + -1x6 + 36y2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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