x^2(1-ln(x))-4(ln(x)+1)=0

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Solution for x^2(1-ln(x))-4(ln(x)+1)=0 equation:


Simplifying
x2(1 + -1ln(x)) + -4(ln(x) + 1) = 0

Multiply ln * x
x2(1 + -1lnx) + -4(ln(x) + 1) = 0
(1 * x2 + -1lnx * x2) + -4(ln(x) + 1) = 0

Reorder the terms:
(-1lnx3 + 1x2) + -4(ln(x) + 1) = 0
(-1lnx3 + 1x2) + -4(ln(x) + 1) = 0

Multiply ln * x
-1lnx3 + 1x2 + -4(lnx + 1) = 0

Reorder the terms:
-1lnx3 + 1x2 + -4(1 + lnx) = 0
-1lnx3 + 1x2 + (1 * -4 + lnx * -4) = 0
-1lnx3 + 1x2 + (-4 + -4lnx) = 0

Reorder the terms:
-4 + -4lnx + -1lnx3 + 1x2 = 0

Solving
-4 + -4lnx + -1lnx3 + 1x2 = 0

Solving for variable 'l'.

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

Add '4' to each side of the equation.
-4 + -4lnx + -1lnx3 + 4 + 1x2 = 0 + 4

Reorder the terms:
-4 + 4 + -4lnx + -1lnx3 + 1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -4lnx + -1lnx3 + 1x2 = 0 + 4
-4lnx + -1lnx3 + 1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-4lnx + -1lnx3 + 1x2 = 4

Add '-1x2' to each side of the equation.
-4lnx + -1lnx3 + 1x2 + -1x2 = 4 + -1x2

Combine like terms: 1x2 + -1x2 = 0
-4lnx + -1lnx3 + 0 = 4 + -1x2
-4lnx + -1lnx3 = 4 + -1x2

Reorder the terms:
-4 + -4lnx + -1lnx3 + x2 = 4 + -1x2 + -4 + x2

Reorder the terms:
-4 + -4lnx + -1lnx3 + x2 = 4 + -4 + -1x2 + x2

Combine like terms: 4 + -4 = 0
-4 + -4lnx + -1lnx3 + x2 = 0 + -1x2 + x2
-4 + -4lnx + -1lnx3 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + -4lnx + -1lnx3 + x2 = 0

The solution to this equation could not be determined.

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