2x*ln(2x)+x=0

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Solution for 2x*ln(2x)+x=0 equation:


Simplifying
2x * ln(2x) + x = 0

Remove parenthesis around (2x)
2x * ln * 2x + x = 0

Reorder the terms for easier multiplication:
2 * 2x * ln * x + x = 0

Multiply 2 * 2
4x * ln * x + x = 0

Multiply x * ln
4lnx * x + x = 0

Multiply lnx * x
4lnx2 + x = 0

Solving
4lnx2 + x = 0

Solving for variable 'l'.

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

Add '-1x' to each side of the equation.
4lnx2 + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
4lnx2 + 0 = 0 + -1x
4lnx2 = 0 + -1x
Remove the zero:
4lnx2 = -1x

Divide each side by '4nx2'.
l = -0.25n-1x-1

Simplifying
l = -0.25n-1x-1

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