ln(2x^2+9x-5)=1+(x^2+2x-15)

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Solution for ln(2x^2+9x-5)=1+(x^2+2x-15) equation:


Simplifying
ln(2x2 + 9x + -5) = 1 + (x2 + 2x + -15)

Reorder the terms:
ln(-5 + 9x + 2x2) = 1 + (x2 + 2x + -15)
(-5 * ln + 9x * ln + 2x2 * ln) = 1 + (x2 + 2x + -15)
(-5ln + 9lnx + 2lnx2) = 1 + (x2 + 2x + -15)

Reorder the terms:
-5ln + 9lnx + 2lnx2 = 1 + (-15 + 2x + x2)

Remove parenthesis around (-15 + 2x + x2)
-5ln + 9lnx + 2lnx2 = 1 + -15 + 2x + x2

Combine like terms: 1 + -15 = -14
-5ln + 9lnx + 2lnx2 = -14 + 2x + x2

Solving
-5ln + 9lnx + 2lnx2 = -14 + 2x + x2

Solving for variable 'l'.

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

Reorder the terms:
14 + -5ln + 9lnx + 2lnx2 + -2x + -1x2 = -14 + 2x + x2 + 14 + -2x + -1x2

Reorder the terms:
14 + -5ln + 9lnx + 2lnx2 + -2x + -1x2 = -14 + 14 + 2x + -2x + x2 + -1x2

Combine like terms: -14 + 14 = 0
14 + -5ln + 9lnx + 2lnx2 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
14 + -5ln + 9lnx + 2lnx2 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
14 + -5ln + 9lnx + 2lnx2 + -2x + -1x2 = 0 + x2 + -1x2
14 + -5ln + 9lnx + 2lnx2 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + -5ln + 9lnx + 2lnx2 + -2x + -1x2 = 0

The solution to this equation could not be determined.

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