2x^7-12x^5y^2+24x^3y^3-16xy^4=0

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Solution for 2x^7-12x^5y^2+24x^3y^3-16xy^4=0 equation:


Simplifying
2x7 + -12x5y2 + 24x3y3 + -16xy4 = 0

Reorder the terms:
-16xy4 + 24x3y3 + -12x5y2 + 2x7 = 0

Solving
-16xy4 + 24x3y3 + -12x5y2 + 2x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-8y4 + 12x2y3 + -6x4y2 + x6) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-8y4 + 12x2y3 + -6x4y2 + x6)' equal to zero and attempt to solve: Simplifying -8y4 + 12x2y3 + -6x4y2 + x6 = 0 Reorder the terms: 12x2y3 + -6x4y2 + x6 + -8y4 = 0 Solving 12x2y3 + -6x4y2 + x6 + -8y4 = 0 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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