x*ln(x)-24+6*ln(x)-4*x=0

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Solution for x*ln(x)-24+6*ln(x)-4*x=0 equation:


Simplifying
x * ln(x) + -24 + 6ln(x) + -4x = 0

Multiply x * ln
lnx * x + -24 + 6ln(x) + -4x = 0

Multiply lnx * x
lnx2 + -24 + 6ln(x) + -4x = 0

Multiply ln * x
lnx2 + -24 + 6lnx + -4x = 0

Reorder the terms:
-24 + 6lnx + lnx2 + -4x = 0

Solving
-24 + 6lnx + lnx2 + -4x = 0

Solving for variable 'l'.

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

Add '24' to each side of the equation.
-24 + 6lnx + lnx2 + 24 + -4x = 0 + 24

Reorder the terms:
-24 + 24 + 6lnx + lnx2 + -4x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 6lnx + lnx2 + -4x = 0 + 24
6lnx + lnx2 + -4x = 0 + 24

Combine like terms: 0 + 24 = 24
6lnx + lnx2 + -4x = 24

Add '4x' to each side of the equation.
6lnx + lnx2 + -4x + 4x = 24 + 4x

Combine like terms: -4x + 4x = 0
6lnx + lnx2 + 0 = 24 + 4x
6lnx + lnx2 = 24 + 4x

Reorder the terms:
-24 + 6lnx + lnx2 + -4x = 24 + 4x + -24 + -4x

Reorder the terms:
-24 + 6lnx + lnx2 + -4x = 24 + -24 + 4x + -4x

Combine like terms: 24 + -24 = 0
-24 + 6lnx + lnx2 + -4x = 0 + 4x + -4x
-24 + 6lnx + lnx2 + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 6lnx + lnx2 + -4x = 0

The solution to this equation could not be determined.

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