21x^4y^5-7x^3y^2+14x^3y^4=0

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Solution for 21x^4y^5-7x^3y^2+14x^3y^4=0 equation: 


Simplifying
21x4y5 + -7x3y2 + 14x3y4 = 0

Reorder the terms:
-7x3y2 + 14x3y4 + 21x4y5 = 0

Solving
-7x3y2 + 14x3y4 + 21x4y5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x3y2'.
7x3y2(-1 + 2y2 + 3xy3) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'x3y2' equal to zero and attempt to solve:

Simplifying
x3y2 = 0

Solving
x3y2 = 0

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

Simplifying
x3y2 = 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 '(-1 + 2y2 + 3xy3)' equal to zero and attempt to solve:

Simplifying
-1 + 2y2 + 3xy3 = 0

Reorder the terms:
-1 + 3xy3 + 2y2 = 0

Solving
-1 + 3xy3 + 2y2 = 0

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

Add '1' to each side of the equation.
-1 + 3xy3 + 1 + 2y2 = 0 + 1

Reorder the terms:
-1 + 1 + 3xy3 + 2y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3xy3 + 2y2 = 0 + 1
3xy3 + 2y2 = 0 + 1

Combine like terms: 0 + 1 = 1
3xy3 + 2y2 = 1

Add '-2y2' to each side of the equation.
3xy3 + 2y2 + -2y2 = 1 + -2y2

Combine like terms: 2y2 + -2y2 = 0
3xy3 + 0 = 1 + -2y2
3xy3 = 1 + -2y2

Divide each side by '3y3'.
x = 0.3333333333y-3 + -0.6666666667y-1

Simplifying
x = 0.3333333333y-3 + -0.6666666667y-1
Solution
x = {0.3333333333y-3 + -0.6666666667y-1}

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