y^2-log(y^2)=4*log(x)+4x+c

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Solution for y^2-log(y^2)=4*log(x)+4x+c equation:


Simplifying
y2 + -1log(y2) = 4log(x) + 4x + c

Multiply glo * y2
y2 + -1gloy2 = 4log(x) + 4x + c

Reorder the terms:
-1gloy2 + y2 = 4log(x) + 4x + c

Multiply glo * x
-1gloy2 + y2 = 4glox + 4x + c

Reorder the terms:
-1gloy2 + y2 = c + 4glox + 4x

Solving
-1gloy2 + y2 = c + 4glox + 4x

Solving for variable 'g'.

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

Add '-4glox' to each side of the equation.
-1gloy2 + -4glox + y2 = c + 4glox + -4glox + 4x

Reorder the terms:
-4glox + -1gloy2 + y2 = c + 4glox + -4glox + 4x

Combine like terms: 4glox + -4glox = 0
-4glox + -1gloy2 + y2 = c + 0 + 4x
-4glox + -1gloy2 + y2 = c + 4x

Add '-1y2' to each side of the equation.
-4glox + -1gloy2 + y2 + -1y2 = c + 4x + -1y2

Combine like terms: y2 + -1y2 = 0
-4glox + -1gloy2 + 0 = c + 4x + -1y2
-4glox + -1gloy2 = c + 4x + -1y2

Reorder the terms:
-1c + -4glox + -1gloy2 + -4x + y2 = c + 4x + -1y2 + -1c + -4x + y2

Reorder the terms:
-1c + -4glox + -1gloy2 + -4x + y2 = c + -1c + 4x + -4x + -1y2 + y2

Combine like terms: c + -1c = 0
-1c + -4glox + -1gloy2 + -4x + y2 = 0 + 4x + -4x + -1y2 + y2
-1c + -4glox + -1gloy2 + -4x + y2 = 4x + -4x + -1y2 + y2

Combine like terms: 4x + -4x = 0
-1c + -4glox + -1gloy2 + -4x + y2 = 0 + -1y2 + y2
-1c + -4glox + -1gloy2 + -4x + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-1c + -4glox + -1gloy2 + -4x + y2 = 0

The solution to this equation could not be determined.

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