-7x^4*y^2+14xy^3+21xy^4=0

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Solution for -7x^4*y^2+14xy^3+21xy^4=0 equation: 


Simplifying
-7x4 * y2 + 14xy3 + 21xy4 = 0

Multiply x4 * y2
-7x4y2 + 14xy3 + 21xy4 = 0

Reorder the terms:
14xy3 + 21xy4 + -7x4y2 = 0

Solving
14xy3 + 21xy4 + -7x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7xy2'.
7xy2(2y + 3y2 + -1x3) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 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 + 3y2 + -1x3)' equal to zero and attempt to solve:

Simplifying
2y + 3y2 + -1x3 = 0

Reorder the terms:
-1x3 + 2y + 3y2 = 0

Solving
-1x3 + 2y + 3y2 = 0

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

Add '-2y' to each side of the equation.
-1x3 + 2y + -2y + 3y2 = 0 + -2y

Combine like terms: 2y + -2y = 0
-1x3 + 0 + 3y2 = 0 + -2y
-1x3 + 3y2 = 0 + -2y
Remove the zero:
-1x3 + 3y2 = -2y

Add '-3y2' to each side of the equation.
-1x3 + 3y2 + -3y2 = -2y + -3y2

Combine like terms: 3y2 + -3y2 = 0
-1x3 + 0 = -2y + -3y2
-1x3 = -2y + -3y2

Divide each side by '-1'.
x3 = 2y + 3y2

Simplifying
x3 = 2y + 3y2

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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