6x^5y^3+12x^2y^6=0

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Solution for 6x^5y^3+12x^2y^6=0 equation:


Simplifying
6x5y3 + 12x2y6 = 0

Reorder the terms:
12x2y6 + 6x5y3 = 0

Solving
12x2y6 + 6x5y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2y3'.
6x2y3(2y3 + x3) = 0

Ignore the factor 6.

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 '(2y3 + x3)' equal to zero and attempt to solve: Simplifying 2y3 + x3 = 0 Reorder the terms: x3 + 2y3 = 0 Solving x3 + 2y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y3' to each side of the equation. x3 + 2y3 + -2y3 = 0 + -2y3 Combine like terms: 2y3 + -2y3 = 0 x3 + 0 = 0 + -2y3 x3 = 0 + -2y3 Remove the zero: x3 = -2y3 Simplifying x3 = -2y3 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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