(5x^2y+4xy^4)-(3x^2y-2xy^4)=

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Solution for (5x^2y+4xy^4)-(3x^2y-2xy^4)= equation: 


Simplifying
(5x2y + 4xy4) + -1(3x2y + -2xy4) = 0

Reorder the terms:
(4xy4 + 5x2y) + -1(3x2y + -2xy4) = 0

Remove parenthesis around (4xy4 + 5x2y)
4xy4 + 5x2y + -1(3x2y + -2xy4) = 0

Reorder the terms:
4xy4 + 5x2y + -1(-2xy4 + 3x2y) = 0
4xy4 + 5x2y + (-2xy4 * -1 + 3x2y * -1) = 0
4xy4 + 5x2y + (2xy4 + -3x2y) = 0

Reorder the terms:
4xy4 + 2xy4 + 5x2y + -3x2y = 0

Combine like terms: 4xy4 + 2xy4 = 6xy4
6xy4 + 5x2y + -3x2y = 0

Combine like terms: 5x2y + -3x2y = 2x2y
6xy4 + 2x2y = 0

Solving
6xy4 + 2x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(3y3 + x) = 0

Ignore the factor 2.

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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(3y3 + x)' equal to zero and attempt to solve:

Simplifying
3y3 + x = 0

Reorder the terms:
x + 3y3 = 0

Solving
x + 3y3 = 0

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

Add '-3y3' to each side of the equation.
x + 3y3 + -3y3 = 0 + -3y3

Combine like terms: 3y3 + -3y3 = 0
x + 0 = 0 + -3y3
x = 0 + -3y3
Remove the zero:
x = -3y3

Simplifying
x = -3y3
Solution
x = {-3y3}

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