5x^3y-28x^2y^2+15xy^3=

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Solution for 5x^3y-28x^2y^2+15xy^3= equation: 


Simplifying
5x3y + -28x2y2 + 15xy3 = 0

Reorder the terms:
15xy3 + -28x2y2 + 5x3y = 0

Solving
15xy3 + -28x2y2 + 5x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(15y2 + -28xy + 5x2) = 0

Factor a trinomial.
xy((3y + -5x)(5y + -1x)) = 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 '(3y + -5x)' equal to zero and attempt to solve:

Simplifying
3y + -5x = 0

Reorder the terms:
-5x + 3y = 0

Solving
-5x + 3y = 0

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

Add '-3y' to each side of the equation.
-5x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-5x + 0 = 0 + -3y
-5x = 0 + -3y
Remove the zero:
-5x = -3y

Divide each side by '-5'.
x = 0.6y

Simplifying
x = 0.6y

Subproblem 3
Set the factor '(5y + -1x)' equal to zero and attempt to solve:

Simplifying
5y + -1x = 0

Reorder the terms:
-1x + 5y = 0

Solving
-1x + 5y = 0

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

Add '-5y' to each side of the equation.
-1x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 0 + -5y
-1x = 0 + -5y
Remove the zero:
-1x = -5y

Divide each side by '-1'.
x = 5y

Simplifying
x = 5y
Solution
x = {0.6y, 5y}

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