2x^3y^2-16x^2y^3+14xy^4=0

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Solution for 2x^3y^2-16x^2y^3+14xy^4=0 equation: 


Simplifying
2x3y2 + -16x2y3 + 14xy4 = 0

Reorder the terms:
14xy4 + -16x2y3 + 2x3y2 = 0

Solving
14xy4 + -16x2y3 + 2x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy2'.
2xy2(7y2 + -8xy + x2) = 0

Factor a trinomial.
2xy2((y + -1x)(7y + -1x)) = 0

Ignore the factor 2.

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 '(y + -1x)' equal to zero and attempt to solve:

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

Add '-1y' to each side of the equation.
-1x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-1x + 0 = 0 + -1y
-1x = 0 + -1y
Remove the zero:
-1x = -1y

Divide each side by '-1'.
x = y

Simplifying
x = y

Subproblem 3
Set the factor '(7y + -1x)' equal to zero and attempt to solve:

Simplifying
7y + -1x = 0

Reorder the terms:
-1x + 7y = 0

Solving
-1x + 7y = 0

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

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

Combine like terms: 7y + -7y = 0
-1x + 0 = 0 + -7y
-1x = 0 + -7y
Remove the zero:
-1x = -7y

Divide each side by '-1'.
x = 7y

Simplifying
x = 7y
Solution
x = {y, 7y}

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