6x^2y-40xy^2+56y^3=

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Solution for 6x^2y-40xy^2+56y^3= equation: 


Simplifying
6x2y + -40xy2 + 56y3 = 0

Reorder the terms:
-40xy2 + 6x2y + 56y3 = 0

Solving
-40xy2 + 6x2y + 56y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-20xy + 3x2 + 28y2) = 0

Factor a trinomial.
2y((3x + -14y)(x + -2y)) = 0

Ignore the factor 2.

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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

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 '(3x + -14y)' equal to zero and attempt to solve:

Simplifying
3x + -14y = 0

Solving
3x + -14y = 0

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

Add '14y' to each side of the equation.
3x + -14y + 14y = 0 + 14y

Combine like terms: -14y + 14y = 0
3x + 0 = 0 + 14y
3x = 0 + 14y
Remove the zero:
3x = 14y

Divide each side by '3'.
x = 4.666666667y

Simplifying
x = 4.666666667y

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

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

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

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

Simplifying
x = 2y
Solution
x = {4.666666667y, 2y}

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