8*2x^2*2y^3=xy

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Solution for 8*2x^2*2y^3=xy equation:


Simplifying
8 * 2x2 * 2y3 = xy

Reorder the terms for easier multiplication:
8 * 2 * 2x2 * y3 = xy

Multiply 8 * 2
16 * 2x2 * y3 = xy

Multiply 16 * 2
32x2 * y3 = xy

Multiply x2 * y3
32x2y3 = xy

Solving
32x2y3 = xy

Solving for variable 'x'.

Reorder the terms:
-1xy + 32x2y3 = xy + -1xy

Combine like terms: xy + -1xy = 0
-1xy + 32x2y3 = 0

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-1 + 32xy2) = 0

Subproblem 1

Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(-1 + 32xy2)' equal to zero and attempt to solve: Simplifying -1 + 32xy2 = 0 Solving -1 + 32xy2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 32xy2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 32xy2 = 0 + 1 32xy2 = 0 + 1 Combine like terms: 0 + 1 = 1 32xy2 = 1 Divide each side by '32y2'. x = 0.03125y-2 Simplifying x = 0.03125y-2

Solution

x = {0.03125y-2}

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