34.66*x-2.52*x*lnx=31090

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Solution for 34.66*x-2.52*x*lnx=31090 equation: 


Simplifying
34.66x + -2.52x * lnx = 31090

Multiply x * lnx
34.66x + -2.52lnx2 = 31090

Reorder the terms:
-2.52lnx2 + 34.66x = 31090

Solving
-2.52lnx2 + 34.66x = 31090

Solving for variable 'l'.

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

Add '-34.66x' to each side of the equation.
-2.52lnx2 + 34.66x + -34.66x = 31090 + -34.66x

Combine like terms: 34.66x + -34.66x = 0.00
-2.52lnx2 + 0.00 = 31090 + -34.66x
-2.52lnx2 = 31090 + -34.66x

Divide each side by '-2.52nx2'.
l = -12337.30159n-1x-2 + 13.75396825n-1x-1

Simplifying
l = -12337.30159n-1x-2 + 13.75396825n-1x-1

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