(x^3-2xy+7xy^2)(ax^3y)=

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Solution for (x^3-2xy+7xy^2)(ax^3y)= equation: 


Simplifying
(x3 + -2xy + 7xy2)(ax3y) = 0

Reorder the terms:
(-2xy + 7xy2 + x3)(ax3y) = 0

Reorder the terms for easier multiplication:
ax3y(-2xy + 7xy2 + x3) = 0
(-2xy * ax3y + 7xy2 * ax3y + x3 * ax3y) = 0
(-2ax4y2 + 7ax4y3 + ax6y) = 0

Solving
-2ax4y2 + 7ax4y3 + ax6y = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'ax4y'.
ax4y(-2y + 7y2 + x2) = 0


Subproblem 1
Set the factor 'ax4y' equal to zero and attempt to solve:

Simplifying
ax4y = 0

Solving
ax4y = 0

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

Simplifying
ax4y = 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 '(-2y + 7y2 + x2)' equal to zero and attempt to solve:

Simplifying
-2y + 7y2 + x2 = 0

Reorder the terms:
x2 + -2y + 7y2 = 0

Solving
x2 + -2y + 7y2 = 0

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

Add '-1x2' to each side of the equation.
x2 + -2y + -1x2 + 7y2 = 0 + -1x2

Reorder the terms:
x2 + -1x2 + -2y + 7y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -2y + 7y2 = 0 + -1x2
-2y + 7y2 = 0 + -1x2
Remove the zero:
-2y + 7y2 = -1x2

Add '2y' to each side of the equation.
-2y + 2y + 7y2 = -1x2 + 2y

Combine like terms: -2y + 2y = 0
0 + 7y2 = -1x2 + 2y
7y2 = -1x2 + 2y

Add '-7y2' to each side of the equation.
7y2 + -7y2 = -1x2 + 2y + -7y2

Combine like terms: 7y2 + -7y2 = 0
0 = -1x2 + 2y + -7y2

Simplifying
0 = -1x2 + 2y + -7y2

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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