x(ln(x)-1)=0.2

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Solution for x(ln(x)-1)=0.2 equation:


Simplifying
x(ln(x) + -1) = 0.2

Multiply ln * x
x(lnx + -1) = 0.2

Reorder the terms:
x(-1 + lnx) = 0.2
(-1 * x + lnx * x) = 0.2

Reorder the terms:
(lnx2 + -1x) = 0.2
(lnx2 + -1x) = 0.2

Solving
lnx2 + -1x = 0.2

Solving for variable 'l'.

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

Add 'x' to each side of the equation.
lnx2 + -1x + x = 0.2 + x

Combine like terms: -1x + x = 0
lnx2 + 0 = 0.2 + x
lnx2 = 0.2 + x

Divide each side by 'nx2'.
l = 0.2n-1x-2 + n-1x-1

Simplifying
l = 0.2n-1x-2 + n-1x-1

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