x(lnx)-20+(5)lnx-4x=0

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Solution for x(lnx)-20+(5)lnx-4x=0 equation:


Simplifying
x(lnx) + -20 + (5) * lnx + -4x = 0

Multiply x * lnx
lnx2 + -20 + (5) * lnx + -4x = 0

Reorder the terms:
-20 + 5lnx + lnx2 + -4x = 0

Solving
-20 + 5lnx + lnx2 + -4x = 0

Solving for variable 'l'.

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

Add '20' to each side of the equation.
-20 + 5lnx + lnx2 + 20 + -4x = 0 + 20

Reorder the terms:
-20 + 20 + 5lnx + lnx2 + -4x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5lnx + lnx2 + -4x = 0 + 20
5lnx + lnx2 + -4x = 0 + 20

Combine like terms: 0 + 20 = 20
5lnx + lnx2 + -4x = 20

Add '4x' to each side of the equation.
5lnx + lnx2 + -4x + 4x = 20 + 4x

Combine like terms: -4x + 4x = 0
5lnx + lnx2 + 0 = 20 + 4x
5lnx + lnx2 = 20 + 4x

Reorder the terms:
-20 + 5lnx + lnx2 + -4x = 20 + 4x + -20 + -4x

Reorder the terms:
-20 + 5lnx + lnx2 + -4x = 20 + -20 + 4x + -4x

Combine like terms: 20 + -20 = 0
-20 + 5lnx + lnx2 + -4x = 0 + 4x + -4x
-20 + 5lnx + lnx2 + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + 5lnx + lnx2 + -4x = 0

The solution to this equation could not be determined.

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