5y^2x+8x+4yx+3yx^2=

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Solution for 5y^2x+8x+4yx+3yx^2= equation: 


Simplifying
5y2x + 8x + 4yx + 3yx2 = 0

Reorder the terms:
8x + 4xy + 5xy2 + 3x2y = 0

Solving
8x + 4xy + 5xy2 + 3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 4y + 5y2 + 3xy) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(8 + 4y + 5y2 + 3xy)' equal to zero and attempt to solve:

Simplifying
8 + 4y + 5y2 + 3xy = 0

Reorder the terms:
8 + 3xy + 4y + 5y2 = 0

Solving
8 + 3xy + 4y + 5y2 = 0

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

Add '-8' to each side of the equation.
8 + 3xy + 4y + -8 + 5y2 = 0 + -8

Reorder the terms:
8 + -8 + 3xy + 4y + 5y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3xy + 4y + 5y2 = 0 + -8
3xy + 4y + 5y2 = 0 + -8

Combine like terms: 0 + -8 = -8
3xy + 4y + 5y2 = -8

Add '-4y' to each side of the equation.
3xy + 4y + -4y + 5y2 = -8 + -4y

Combine like terms: 4y + -4y = 0
3xy + 0 + 5y2 = -8 + -4y
3xy + 5y2 = -8 + -4y

Add '-5y2' to each side of the equation.
3xy + 5y2 + -5y2 = -8 + -4y + -5y2

Combine like terms: 5y2 + -5y2 = 0
3xy + 0 = -8 + -4y + -5y2
3xy = -8 + -4y + -5y2

Divide each side by '3y'.
x = -2.666666667y-1 + -1.333333333 + -1.666666667y

Simplifying
x = -2.666666667y-1 + -1.333333333 + -1.666666667y

Reorder the terms:
x = -1.333333333 + -2.666666667y-1 + -1.666666667y
Solution
x = {0, -1.333333333 + -2.666666667y-1 + -1.666666667y}

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