48x^6y^6-18x^4y^6-6x^4y^5=0

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Solution for 48x^6y^6-18x^4y^6-6x^4y^5=0 equation:


Simplifying
48x6y6 + -18x4y6 + -6x4y5 = 0

Reorder the terms:
-6x4y5 + -18x4y6 + 48x6y6 = 0

Solving
-6x4y5 + -18x4y6 + 48x6y6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x4y5'.
6x4y5(-1 + -3y + 8x2y) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x4y5' equal to zero and attempt to solve: Simplifying x4y5 = 0 Solving x4y5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y5 = 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 '(-1 + -3y + 8x2y)' equal to zero and attempt to solve: Simplifying -1 + -3y + 8x2y = 0 Reorder the terms: -1 + 8x2y + -3y = 0 Solving -1 + 8x2y + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 8x2y + 1 + -3y = 0 + 1 Reorder the terms: -1 + 1 + 8x2y + -3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x2y + -3y = 0 + 1 8x2y + -3y = 0 + 1 Combine like terms: 0 + 1 = 1 8x2y + -3y = 1 Add '3y' to each side of the equation. 8x2y + -3y + 3y = 1 + 3y Combine like terms: -3y + 3y = 0 8x2y + 0 = 1 + 3y 8x2y = 1 + 3y Divide each side by '8y'. x2 = 0.125y-1 + 0.375 Simplifying x2 = 0.125y-1 + 0.375 Reorder the terms: x2 = 0.375 + 0.125y-1 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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