e^2x(2lny)=8-x^3y

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Solution for e^2x(2lny)=8-x^3y equation:


Simplifying
e2x(2lny) = 8 + -1x3y

Remove parenthesis around (2lny)
e2x * 2lny = 8 + -1x3y

Reorder the terms for easier multiplication:
2e2x * lny = 8 + -1x3y

Multiply e2x * lny
2e2lnxy = 8 + -1x3y

Solving
2e2lnxy = 8 + -1x3y

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '2lnxy'.
e2 = 4l-1n-1x-1y-1 + -0.5l-1n-1x2

Simplifying
e2 = 4l-1n-1x-1y-1 + -0.5l-1n-1x2

Reorder the terms:
e2 + -4l-1n-1x-1y-1 + 0.5l-1n-1x2 = 4l-1n-1x-1y-1 + -4l-1n-1x-1y-1 + -0.5l-1n-1x2 + 0.5l-1n-1x2

Combine like terms: 4l-1n-1x-1y-1 + -4l-1n-1x-1y-1 = 0
e2 + -4l-1n-1x-1y-1 + 0.5l-1n-1x2 = 0 + -0.5l-1n-1x2 + 0.5l-1n-1x2
e2 + -4l-1n-1x-1y-1 + 0.5l-1n-1x2 = -0.5l-1n-1x2 + 0.5l-1n-1x2

Combine like terms: -0.5l-1n-1x2 + 0.5l-1n-1x2 = 0.0
e2 + -4l-1n-1x-1y-1 + 0.5l-1n-1x2 = 0.0

The solution to this equation could not be determined.

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