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

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


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

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

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

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

Solving
-5 + 9x + 2x2 = 1 + -15ln + 2lnx + lnx2

Solving for variable 'x'.

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

Combine like terms: -5 + -1 = -6
-6 + 15ln + -2lnx + -1lnx2 + 9x + 2x2 = 1 + -15ln + 2lnx + lnx2 + -1 + 15ln + -2lnx + -1lnx2

Reorder the terms:
-6 + 15ln + -2lnx + -1lnx2 + 9x + 2x2 = 1 + -1 + -15ln + 15ln + 2lnx + -2lnx + lnx2 + -1lnx2

Combine like terms: 1 + -1 = 0
-6 + 15ln + -2lnx + -1lnx2 + 9x + 2x2 = 0 + -15ln + 15ln + 2lnx + -2lnx + lnx2 + -1lnx2
-6 + 15ln + -2lnx + -1lnx2 + 9x + 2x2 = -15ln + 15ln + 2lnx + -2lnx + lnx2 + -1lnx2

Combine like terms: -15ln + 15ln = 0
-6 + 15ln + -2lnx + -1lnx2 + 9x + 2x2 = 0 + 2lnx + -2lnx + lnx2 + -1lnx2
-6 + 15ln + -2lnx + -1lnx2 + 9x + 2x2 = 2lnx + -2lnx + lnx2 + -1lnx2

Combine like terms: 2lnx + -2lnx = 0
-6 + 15ln + -2lnx + -1lnx2 + 9x + 2x2 = 0 + lnx2 + -1lnx2
-6 + 15ln + -2lnx + -1lnx2 + 9x + 2x2 = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
-6 + 15ln + -2lnx + -1lnx2 + 9x + 2x2 = 0

The solution to this equation could not be determined.

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