16x^3y+4x^2y^2-42xy^3=

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Solution for 16x^3y+4x^2y^2-42xy^3= equation: 


Simplifying
16x3y + 4x2y2 + -42xy3 = 0

Reorder the terms:
-42xy3 + 4x2y2 + 16x3y = 0

Solving
-42xy3 + 4x2y2 + 16x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(-21y2 + 2xy + 8x2) = 0

Factor a trinomial.
2xy((-7y + -4x)(3y + -2x)) = 0

Ignore the factor 2.

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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(-7y + -4x)' equal to zero and attempt to solve:

Simplifying
-7y + -4x = 0

Reorder the terms:
-4x + -7y = 0

Solving
-4x + -7y = 0

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

Add '7y' to each side of the equation.
-4x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
-4x + 0 = 0 + 7y
-4x = 0 + 7y
Remove the zero:
-4x = 7y

Divide each side by '-4'.
x = -1.75y

Simplifying
x = -1.75y

Subproblem 3
Set the factor '(3y + -2x)' equal to zero and attempt to solve:

Simplifying
3y + -2x = 0

Reorder the terms:
-2x + 3y = 0

Solving
-2x + 3y = 0

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

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

Combine like terms: 3y + -3y = 0
-2x + 0 = 0 + -3y
-2x = 0 + -3y
Remove the zero:
-2x = -3y

Divide each side by '-2'.
x = 1.5y

Simplifying
x = 1.5y
Solution
x = {-1.75y, 1.5y}

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