6x^4y+8x^4-2x^2y=

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Solution for 6x^4y+8x^4-2x^2y= equation:


Simplifying
6x4y + 8x4 + -2x2y = 0

Reorder the terms:
-2x2y + 8x4 + 6x4y = 0

Solving
-2x2y + 8x4 + 6x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-1y + 4x2 + 3x2y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-1y + 4x2 + 3x2y)' equal to zero and attempt to solve: Simplifying -1y + 4x2 + 3x2y = 0 Reorder the terms: 4x2 + 3x2y + -1y = 0 Solving 4x2 + 3x2y + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x2 + 3x2y + -1y + y = 0 + y Combine like terms: -1y + y = 0 4x2 + 3x2y + 0 = 0 + y 4x2 + 3x2y = 0 + y Remove the zero: 4x2 + 3x2y = y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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