lnx(9x-20)=2lnx

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Solution for lnx(9x-20)=2lnx equation: 


Simplifying
lnx(9x + -20) = 2lnx

Reorder the terms:
lnx(-20 + 9x) = 2lnx
(-20 * lnx + 9x * lnx) = 2lnx
(-20lnx + 9lnx2) = 2lnx

Solving
-20lnx + 9lnx2 = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
-20lnx + -2lnx + 9lnx2 = 2lnx + -2lnx

Combine like terms: -20lnx + -2lnx = -22lnx
-22lnx + 9lnx2 = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-22lnx + 9lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(-22 + 9x) = 0


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

Simplifying
lnx = 0

Solving
lnx = 0

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

Simplifying
lnx = 0

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 '(-22 + 9x)' equal to zero and attempt to solve:

Simplifying
-22 + 9x = 0

Solving
-22 + 9x = 0

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

Add '22' to each side of the equation.
-22 + 22 + 9x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 9x = 0 + 22
9x = 0 + 22

Combine like terms: 0 + 22 = 22
9x = 22

Add '-9x' to each side of the equation.
9x + -9x = 22 + -9x

Combine like terms: 9x + -9x = 0
0 = 22 + -9x

Simplifying
0 = 22 + -9x

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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