6x^2y+19xy+8y=0

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Solution for 6x^2y+19xy+8y=0 equation: 


Simplifying
6x2y + 19xy + 8y = 0

Reorder the terms:
19xy + 6x2y + 8y = 0

Solving
19xy + 6x2y + 8y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(19x + 6x2 + 8) = 0

Factor a trinomial.
y((2x + 1)(3x + 8)) = 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 '(2x + 1)' equal to zero and attempt to solve:

Simplifying
2x + 1 = 0

Reorder the terms:
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 3
Set the factor '(3x + 8)' equal to zero and attempt to solve:

Simplifying
3x + 8 = 0

Reorder the terms:
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {-0.5, -2.666666667}

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