3x*lnx+8x=0

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Solution for 3x*lnx+8x=0 equation: 


Simplifying
3x * lnx + 8x = 0

Multiply x * lnx
3lnx2 + 8x = 0

Solving
3lnx2 + 8x = 0

Solving for variable 'l'.

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

Add '-8x' to each side of the equation.
3lnx2 + 8x + -8x = 0 + -8x

Combine like terms: 8x + -8x = 0
3lnx2 + 0 = 0 + -8x
3lnx2 = 0 + -8x
Remove the zero:
3lnx2 = -8x

Divide each side by '3nx2'.
l = -2.666666667n-1x-1

Simplifying
l = -2.666666667n-1x-1

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