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

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


Simplifying
(4x2y4 + 3x4y2) + -1(7x2y4 + -1x4y2) = 0

Remove parenthesis around (4x2y4 + 3x4y2)
4x2y4 + 3x4y2 + -1(7x2y4 + -1x4y2) = 0
4x2y4 + 3x4y2 + (7x2y4 * -1 + -1x4y2 * -1) = 0
4x2y4 + 3x4y2 + (-7x2y4 + 1x4y2) = 0

Reorder the terms:
4x2y4 + -7x2y4 + 3x4y2 + 1x4y2 = 0

Combine like terms: 4x2y4 + -7x2y4 = -3x2y4
-3x2y4 + 3x4y2 + 1x4y2 = 0

Combine like terms: 3x4y2 + 1x4y2 = 4x4y2
-3x2y4 + 4x4y2 = 0

Solving
-3x2y4 + 4x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y2'.
x2y2(-3y2 + 4x2) = 0


Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 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 '(-3y2 + 4x2)' equal to zero and attempt to solve:

Simplifying
-3y2 + 4x2 = 0

Reorder the terms:
4x2 + -3y2 = 0

Solving
4x2 + -3y2 = 0

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

Add '3y2' to each side of the equation.
4x2 + -3y2 + 3y2 = 0 + 3y2

Combine like terms: -3y2 + 3y2 = 0
4x2 + 0 = 0 + 3y2
4x2 = 0 + 3y2
Remove the zero:
4x2 = 3y2

Divide each side by '4'.
x2 = 0.75y2

Simplifying
x2 = 0.75y2

Take the square root of each side:
x = {-0.866025404y, 0.866025404y}
Solution
x = {-0.866025404y, 0.866025404y}

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