8x^4y^2-47x^3y^3-6x^2y^4=0

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Solution for 8x^4y^2-47x^3y^3-6x^2y^4=0 equation: 


Simplifying
8x4y2 + -47x3y3 + -6x2y4 = 0

Reorder the terms:
-6x2y4 + -47x3y3 + 8x4y2 = 0

Solving
-6x2y4 + -47x3y3 + 8x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y2'.
x2y2(-6y2 + -47xy + 8x2) = 0

Factor a trinomial.
x2y2((-1y + -8x)(6y + -1x)) = 0


Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 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 '(-1y + -8x)' equal to zero and attempt to solve:

Simplifying
-1y + -8x = 0

Reorder the terms:
-8x + -1y = 0

Solving
-8x + -1y = 0

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

Add 'y' to each side of the equation.
-8x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-8x + 0 = 0 + y
-8x = 0 + y
Remove the zero:
-8x = y

Divide each side by '-8'.
x = -0.125y

Simplifying
x = -0.125y

Subproblem 3
Set the factor '(6y + -1x)' equal to zero and attempt to solve:

Simplifying
6y + -1x = 0

Reorder the terms:
-1x + 6y = 0

Solving
-1x + 6y = 0

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

Add '-6y' to each side of the equation.
-1x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
-1x + 0 = 0 + -6y
-1x = 0 + -6y
Remove the zero:
-1x = -6y

Divide each side by '-1'.
x = 6y

Simplifying
x = 6y
Solution
x = {-0.125y, 6y}

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