3x^2y-8xy+5y=0

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Solution for 3x^2y-8xy+5y=0 equation: 


Simplifying
3x2y + -8xy + 5y = 0

Reorder the terms:
-8xy + 3x2y + 5y = 0

Solving
-8xy + 3x2y + 5y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-8x + 3x2 + 5) = 0

Factor a trinomial.
y((3x + -5)(x + -1)) = 0


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 + -5)' equal to zero and attempt to solve:

Simplifying
3x + -5 = 0

Reorder the terms:
-5 + 3x = 0

Solving
-5 + 3x = 0

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

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

Combine like terms: -5 + 5 = 0
0 + 3x = 0 + 5
3x = 0 + 5

Combine like terms: 0 + 5 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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

Simplifying
x + -1 = 0

Reorder the terms:
-1 + x = 0

Solving
-1 + x = 0

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

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

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Solution
x = {1.666666667, 1}

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