2xy^2(3x+2y+4)=

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Solution for 2xy^2(3x+2y+4)= equation: 


Simplifying
2xy2(3x + 2y + 4) = 0

Reorder the terms:
2xy2(4 + 3x + 2y) = 0
(4 * 2xy2 + 3x * 2xy2 + 2y * 2xy2) = 0

Reorder the terms:
(8xy2 + 4xy3 + 6x2y2) = 0
(8xy2 + 4xy3 + 6x2y2) = 0

Solving
8xy2 + 4xy3 + 6x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy2'.
2xy2(4 + 2y + 3x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 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 '(4 + 2y + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 2y + 3x = 0

Reorder the terms:
4 + 3x + 2y = 0

Solving
4 + 3x + 2y = 0

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

Add '-4' to each side of the equation.
4 + 3x + -4 + 2y = 0 + -4

Reorder the terms:
4 + -4 + 3x + 2y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x + 2y = 0 + -4
3x + 2y = 0 + -4

Combine like terms: 0 + -4 = -4
3x + 2y = -4

Add '-2y' to each side of the equation.
3x + 2y + -2y = -4 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = -4 + -2y
3x = -4 + -2y

Divide each side by '3'.
x = -1.333333333 + -0.6666666667y

Simplifying
x = -1.333333333 + -0.6666666667y
Solution
x = {-1.333333333 + -0.6666666667y}

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