9x^3y-42x^2y^2+49xy^3=

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Solution for 9x^3y-42x^2y^2+49xy^3= equation: 


Simplifying
9x3y + -42x2y2 + 49xy3 = 0

Reorder the terms:
49xy3 + -42x2y2 + 9x3y = 0

Solving
49xy3 + -42x2y2 + 9x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(49y2 + -42xy + 9x2) = 0

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


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 + -3x)' equal to zero and attempt to solve:

Simplifying
7y + -3x = 0

Reorder the terms:
-3x + 7y = 0

Solving
-3x + 7y = 0

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

Add '-7y' to each side of the equation.
-3x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
-3x + 0 = 0 + -7y
-3x = 0 + -7y
Remove the zero:
-3x = -7y

Divide each side by '-3'.
x = 2.333333333y

Simplifying
x = 2.333333333y

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

Simplifying
7y + -3x = 0

Reorder the terms:
-3x + 7y = 0

Solving
-3x + 7y = 0

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

Add '-7y' to each side of the equation.
-3x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
-3x + 0 = 0 + -7y
-3x = 0 + -7y
Remove the zero:
-3x = -7y

Divide each side by '-3'.
x = 2.333333333y

Simplifying
x = 2.333333333y
Solution
x = {2.333333333y, 2.333333333y}

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