(4x^4y^3+4x^2y^4)-(x^4y^3-7x^2y^4)=

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Solution for (4x^4y^3+4x^2y^4)-(x^4y^3-7x^2y^4)= equation: 


Simplifying
(4x4y3 + 4x2y4) + -1(x4y3 + -7x2y4) = 0

Reorder the terms:
(4x2y4 + 4x4y3) + -1(x4y3 + -7x2y4) = 0

Remove parenthesis around (4x2y4 + 4x4y3)
4x2y4 + 4x4y3 + -1(x4y3 + -7x2y4) = 0

Reorder the terms:
4x2y4 + 4x4y3 + -1(-7x2y4 + x4y3) = 0
4x2y4 + 4x4y3 + (-7x2y4 * -1 + x4y3 * -1) = 0
4x2y4 + 4x4y3 + (7x2y4 + -1x4y3) = 0

Reorder the terms:
4x2y4 + 7x2y4 + 4x4y3 + -1x4y3 = 0

Combine like terms: 4x2y4 + 7x2y4 = 11x2y4
11x2y4 + 4x4y3 + -1x4y3 = 0

Combine like terms: 4x4y3 + -1x4y3 = 3x4y3
11x2y4 + 3x4y3 = 0

Solving
11x2y4 + 3x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y3'.
x2y3(11y + 3x2) = 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 '(11y + 3x2)' equal to zero and attempt to solve:

Simplifying
11y + 3x2 = 0

Reorder the terms:
3x2 + 11y = 0

Solving
3x2 + 11y = 0

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

Add '-11y' to each side of the equation.
3x2 + 11y + -11y = 0 + -11y

Combine like terms: 11y + -11y = 0
3x2 + 0 = 0 + -11y
3x2 = 0 + -11y
Remove the zero:
3x2 = -11y

Divide each side by '3'.
x2 = -3.666666667y

Simplifying
x2 = -3.666666667y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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