ln(2x^2+3x-9)=2+ln(2x^2-7x+6)

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Solution for ln(2x^2+3x-9)=2+ln(2x^2-7x+6) equation: 


Simplifying
ln(2x2 + 3x + -9) = 2 + ln(2x2 + -7x + 6)

Reorder the terms:
ln(-9 + 3x + 2x2) = 2 + ln(2x2 + -7x + 6)
(-9 * ln + 3x * ln + 2x2 * ln) = 2 + ln(2x2 + -7x + 6)
(-9ln + 3lnx + 2lnx2) = 2 + ln(2x2 + -7x + 6)

Reorder the terms:
-9ln + 3lnx + 2lnx2 = 2 + ln(6 + -7x + 2x2)
-9ln + 3lnx + 2lnx2 = 2 + (6 * ln + -7x * ln + 2x2 * ln)
-9ln + 3lnx + 2lnx2 = 2 + (6ln + -7lnx + 2lnx2)

Add '-2lnx2' to each side of the equation.
-9ln + 3lnx + 2lnx2 + -2lnx2 = 2 + 6ln + -7lnx + 2lnx2 + -2lnx2

Combine like terms: 2lnx2 + -2lnx2 = 0
-9ln + 3lnx + 0 = 2 + 6ln + -7lnx + 2lnx2 + -2lnx2
-9ln + 3lnx = 2 + 6ln + -7lnx + 2lnx2 + -2lnx2

Combine like terms: 2lnx2 + -2lnx2 = 0
-9ln + 3lnx = 2 + 6ln + -7lnx + 0
-9ln + 3lnx = 2 + 6ln + -7lnx

Solving
-9ln + 3lnx = 2 + 6ln + -7lnx

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
-9ln + -6ln + 3lnx = 2 + 6ln + -6ln + -7lnx

Combine like terms: -9ln + -6ln = -15ln
-15ln + 3lnx = 2 + 6ln + -6ln + -7lnx

Combine like terms: 6ln + -6ln = 0
-15ln + 3lnx = 2 + 0 + -7lnx
-15ln + 3lnx = 2 + -7lnx

Add '7lnx' to each side of the equation.
-15ln + 3lnx + 7lnx = 2 + -7lnx + 7lnx

Combine like terms: 3lnx + 7lnx = 10lnx
-15ln + 10lnx = 2 + -7lnx + 7lnx

Combine like terms: -7lnx + 7lnx = 0
-15ln + 10lnx = 2 + 0
-15ln + 10lnx = 2

Reorder the terms:
-2 + -15ln + 10lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -15ln + 10lnx = 0

The solution to this equation could not be determined.

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