2xln(x)+x-1=0

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Solution for 2xln(x)+x-1=0 equation:


Simplifying
2xln(x) + x + -1 = 0

Multiply lnx * x
2lnx2 + x + -1 = 0

Reorder the terms:
-1 + 2lnx2 + x = 0

Solving
-1 + 2lnx2 + x = 0

Solving for variable 'l'.

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

Add '1' to each side of the equation.
-1 + 2lnx2 + 1 + x = 0 + 1

Reorder the terms:
-1 + 1 + 2lnx2 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2lnx2 + x = 0 + 1
2lnx2 + x = 0 + 1

Combine like terms: 0 + 1 = 1
2lnx2 + x = 1

Add '-1x' to each side of the equation.
2lnx2 + x + -1x = 1 + -1x

Combine like terms: x + -1x = 0
2lnx2 + 0 = 1 + -1x
2lnx2 = 1 + -1x

Divide each side by '2nx2'.
l = 0.5n-1x-2 + -0.5n-1x-1

Simplifying
l = 0.5n-1x-2 + -0.5n-1x-1

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