32(x^8)y+108(x^2)(y^4)=0

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Solution for 32(x^8)y+108(x^2)(y^4)=0 equation:


Simplifying
32(x8) * y + 108(x2)(y4) = 0

Multiply x8 * y
32x8y + 108(x2)(y4) = 0

Multiply x2 * y4
32x8y + 108x2y4 = 0

Reorder the terms:
108x2y4 + 32x8y = 0

Solving
108x2y4 + 32x8y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2y'.
4x2y(27y3 + 8x6) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(27y3 + 8x6)' equal to zero and attempt to solve: Simplifying 27y3 + 8x6 = 0 Reorder the terms: 8x6 + 27y3 = 0 Solving 8x6 + 27y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27y3' to each side of the equation. 8x6 + 27y3 + -27y3 = 0 + -27y3 Combine like terms: 27y3 + -27y3 = 0 8x6 + 0 = 0 + -27y3 8x6 = 0 + -27y3 Remove the zero: 8x6 = -27y3 Divide each side by '8'. x6 = -3.375y3 Simplifying x6 = -3.375y3 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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