20x+x*lnx+lnx=0

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Solution for 20x+x*lnx+lnx=0 equation: 


Simplifying
20x + x * lnx + lnx = 0

Multiply x * lnx
20x + lnx2 + lnx = 0

Reorder the terms:
lnx + lnx2 + 20x = 0

Solving
lnx + lnx2 + 20x = 0

Solving for variable 'l'.

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

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

Combine like terms: 20x + -20x = 0
lnx + lnx2 + 0 = 0 + -20x
lnx + lnx2 = 0 + -20x
Remove the zero:
lnx + lnx2 = -20x

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(ln + lnx + 20) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(ln + lnx + 20)' equal to zero and attempt to solve:

Simplifying
ln + lnx + 20 = 0

Reorder the terms:
20 + ln + lnx = 0

Solving
20 + ln + lnx = 0

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

Add '-20' to each side of the equation.
20 + ln + -20 + lnx = 0 + -20

Reorder the terms:
20 + -20 + ln + lnx = 0 + -20

Combine like terms: 20 + -20 = 0
0 + ln + lnx = 0 + -20
ln + lnx = 0 + -20

Combine like terms: 0 + -20 = -20
ln + lnx = -20

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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