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

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


Simplifying
(2x2y4 + 3x3y3) + -1(4x2y4 + -4x3y3) = 0

Remove parenthesis around (2x2y4 + 3x3y3)
2x2y4 + 3x3y3 + -1(4x2y4 + -4x3y3) = 0
2x2y4 + 3x3y3 + (4x2y4 * -1 + -4x3y3 * -1) = 0
2x2y4 + 3x3y3 + (-4x2y4 + 4x3y3) = 0

Reorder the terms:
2x2y4 + -4x2y4 + 3x3y3 + 4x3y3 = 0

Combine like terms: 2x2y4 + -4x2y4 = -2x2y4
-2x2y4 + 3x3y3 + 4x3y3 = 0

Combine like terms: 3x3y3 + 4x3y3 = 7x3y3
-2x2y4 + 7x3y3 = 0

Solving
-2x2y4 + 7x3y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y3'.
x2y3(-2y + 7x) = 0


Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve:

Simplifying
x2y3 = 0

Solving
x2y3 = 0

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

Simplifying
x2y3 = 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 '(-2y + 7x)' equal to zero and attempt to solve:

Simplifying
-2y + 7x = 0

Reorder the terms:
7x + -2y = 0

Solving
7x + -2y = 0

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

Add '2y' to each side of the equation.
7x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
7x + 0 = 0 + 2y
7x = 0 + 2y
Remove the zero:
7x = 2y

Divide each side by '7'.
x = 0.2857142857y

Simplifying
x = 0.2857142857y
Solution
x = {0.2857142857y}

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