108x^8+256x^5y^3=0

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Solution for 108x^8+256x^5y^3=0 equation:


Simplifying
108x8 + 256x5y3 = 0

Reorder the terms:
256x5y3 + 108x8 = 0

Solving
256x5y3 + 108x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x5'.
4x5(64y3 + 27x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(64y3 + 27x3)' equal to zero and attempt to solve: Simplifying 64y3 + 27x3 = 0 Reorder the terms: 27x3 + 64y3 = 0 Solving 27x3 + 64y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-64y3' to each side of the equation. 27x3 + 64y3 + -64y3 = 0 + -64y3 Combine like terms: 64y3 + -64y3 = 0 27x3 + 0 = 0 + -64y3 27x3 = 0 + -64y3 Remove the zero: 27x3 = -64y3 Divide each side by '27'. x3 = -2.37037037y3 Simplifying x3 = -2.37037037y3 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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