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

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


Simplifying
(x3 + -2x2y + 7xy2)(ax3y) = 0

Reorder the terms:
(7xy2 + -2x2y + x3)(ax3y) = 0

Reorder the terms for easier multiplication:
ax3y(7xy2 + -2x2y + x3) = 0
(7xy2 * ax3y + -2x2y * ax3y + x3 * ax3y) = 0
(7ax4y3 + -2ax5y2 + ax6y) = 0

Solving
7ax4y3 + -2ax5y2 + 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(7y2 + -2xy + 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 '(7y2 + -2xy + x2)' equal to zero and attempt to solve:

Simplifying
7y2 + -2xy + x2 = 0

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

Solving
-2xy + x2 + 7y2 = 0

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

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

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

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

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

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

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

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

Simplifying
0 = 2xy + -1x2 + -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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