6x^4+42x^4y^3+54xy=

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Solution for 6x^4+42x^4y^3+54xy= equation: 


Simplifying
6x4 + 42x4y3 + 54xy = 0

Reorder the terms:
54xy + 6x4 + 42x4y3 = 0

Solving
54xy + 6x4 + 42x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(9y + x3 + 7x3y3) = 0

Ignore the factor 6.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(9y + x3 + 7x3y3)' equal to zero and attempt to solve:

Simplifying
9y + x3 + 7x3y3 = 0

Reorder the terms:
x3 + 7x3y3 + 9y = 0

Solving
x3 + 7x3y3 + 9y = 0

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

Add '-9y' to each side of the equation.
x3 + 7x3y3 + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
x3 + 7x3y3 + 0 = 0 + -9y
x3 + 7x3y3 = 0 + -9y
Remove the zero:
x3 + 7x3y3 = -9y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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