(x^8)y-64*(x^2)*(y^7)=0

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Solution for (x^8)y-64*(x^2)*(y^7)=0 equation:


Simplifying
(x8) * y + -64(x2)(y7) = 0

Multiply x8 * y
x8y + -64(x2)(y7) = 0

Multiply x2 * y7
x8y + -64x2y7 = 0

Reorder the terms:
-64x2y7 + x8y = 0

Solving
-64x2y7 + x8y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y'.
x2y(-64y6 + x6) = 0

Factor a difference between two squares.
x2y((8y3 + x3)(-8y3 + x3)) = 0

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 '(8y3 + x3)' equal to zero and attempt to solve: Simplifying 8y3 + x3 = 0 Reorder the terms: x3 + 8y3 = 0 Solving x3 + 8y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y3' to each side of the equation. x3 + 8y3 + -8y3 = 0 + -8y3 Combine like terms: 8y3 + -8y3 = 0 x3 + 0 = 0 + -8y3 x3 = 0 + -8y3 Remove the zero: x3 = -8y3 Simplifying x3 = -8y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-8y3 + x3)' equal to zero and attempt to solve: Simplifying -8y3 + x3 = 0 Reorder the terms: x3 + -8y3 = 0 Solving x3 + -8y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '8y3' to each side of the equation. x3 + -8y3 + 8y3 = 0 + 8y3 Combine like terms: -8y3 + 8y3 = 0 x3 + 0 = 0 + 8y3 x3 = 0 + 8y3 Remove the zero: x3 = 8y3 Simplifying x3 = 8y3 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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