ln(2x^2+7x-4)=2+ln(x^2+x-12)

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Solution for ln(2x^2+7x-4)=2+ln(x^2+x-12) equation: 


Simplifying
ln(2x2 + 7x + -4) = 2 + ln(x2 + x + -12)

Reorder the terms:
ln(-4 + 7x + 2x2) = 2 + ln(x2 + x + -12)
(-4 * ln + 7x * ln + 2x2 * ln) = 2 + ln(x2 + x + -12)
(-4ln + 7lnx + 2lnx2) = 2 + ln(x2 + x + -12)

Reorder the terms:
-4ln + 7lnx + 2lnx2 = 2 + ln(-12 + x + x2)
-4ln + 7lnx + 2lnx2 = 2 + (-12 * ln + x * ln + x2 * ln)
-4ln + 7lnx + 2lnx2 = 2 + (-12ln + lnx + lnx2)

Solving
-4ln + 7lnx + 2lnx2 = 2 + -12ln + lnx + lnx2

Solving for variable 'l'.

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

Add '12ln' to each side of the equation.
-4ln + 7lnx + 12ln + 2lnx2 = 2 + -12ln + lnx + 12ln + lnx2

Reorder the terms:
-4ln + 12ln + 7lnx + 2lnx2 = 2 + -12ln + lnx + 12ln + lnx2

Combine like terms: -4ln + 12ln = 8ln
8ln + 7lnx + 2lnx2 = 2 + -12ln + lnx + 12ln + lnx2

Reorder the terms:
8ln + 7lnx + 2lnx2 = 2 + -12ln + 12ln + lnx + lnx2

Combine like terms: -12ln + 12ln = 0
8ln + 7lnx + 2lnx2 = 2 + 0 + lnx + lnx2
8ln + 7lnx + 2lnx2 = 2 + lnx + lnx2

Add '-1lnx' to each side of the equation.
8ln + 7lnx + -1lnx + 2lnx2 = 2 + lnx + -1lnx + lnx2

Combine like terms: 7lnx + -1lnx = 6lnx
8ln + 6lnx + 2lnx2 = 2 + lnx + -1lnx + lnx2

Combine like terms: lnx + -1lnx = 0
8ln + 6lnx + 2lnx2 = 2 + 0 + lnx2
8ln + 6lnx + 2lnx2 = 2 + lnx2

Add '-1lnx2' to each side of the equation.
8ln + 6lnx + 2lnx2 + -1lnx2 = 2 + lnx2 + -1lnx2

Combine like terms: 2lnx2 + -1lnx2 = 1lnx2
8ln + 6lnx + 1lnx2 = 2 + lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
8ln + 6lnx + 1lnx2 = 2 + 0
8ln + 6lnx + 1lnx2 = 2

Reorder the terms:
-2 + 8ln + 6lnx + 1lnx2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 8ln + 6lnx + 1lnx2 = 0

The solution to this equation could not be determined.

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