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

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


Simplifying
3xy(2x3y) + 2x2y(xy + 4x2y) = 0

Remove parenthesis around (2x3y)
3xy * 2x3y + 2x2y(xy + 4x2y) = 0

Reorder the terms for easier multiplication:
3 * 2xy * x3y + 2x2y(xy + 4x2y) = 0

Multiply 3 * 2
6xy * x3y + 2x2y(xy + 4x2y) = 0

Multiply xy * x3y
6x4y2 + 2x2y(xy + 4x2y) = 0
6x4y2 + (xy * 2x2y + 4x2y * 2x2y) = 0
6x4y2 + (2x3y2 + 8x4y2) = 0

Reorder the terms:
2x3y2 + 6x4y2 + 8x4y2 = 0

Combine like terms: 6x4y2 + 8x4y2 = 14x4y2
2x3y2 + 14x4y2 = 0

Solving
2x3y2 + 14x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x3y2'.
2x3y2(1 + 7x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x3y2' equal to zero and attempt to solve:

Simplifying
x3y2 = 0

Solving
x3y2 = 0

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

Simplifying
x3y2 = 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 '(1 + 7x)' equal to zero and attempt to solve:

Simplifying
1 + 7x = 0

Solving
1 + 7x = 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 + 7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 0 + -1
7x = 0 + -1

Combine like terms: 0 + -1 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429
Solution
x = {-0.1428571429}

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