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

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


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

Reorder the terms:
no(-5 + 9x + 2x2) = 1 + ln(x2 + 2x + -15)
(-5 * no + 9x * no + 2x2 * no) = 1 + ln(x2 + 2x + -15)
(-5no + 9nox + 2nox2) = 1 + ln(x2 + 2x + -15)

Reorder the terms:
-5no + 9nox + 2nox2 = 1 + ln(-15 + 2x + x2)
-5no + 9nox + 2nox2 = 1 + (-15 * ln + 2x * ln + x2 * ln)
-5no + 9nox + 2nox2 = 1 + (-15ln + 2lnx + lnx2)

Solving
-5no + 9nox + 2nox2 = 1 + -15ln + 2lnx + lnx2

Solving for variable 'n'.

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

Add '15ln' to each side of the equation.
-5no + 9nox + 15ln + 2nox2 = 1 + -15ln + 2lnx + 15ln + lnx2

Reorder the terms:
15ln + -5no + 9nox + 2nox2 = 1 + -15ln + 2lnx + 15ln + lnx2

Reorder the terms:
15ln + -5no + 9nox + 2nox2 = 1 + -15ln + 15ln + 2lnx + lnx2

Combine like terms: -15ln + 15ln = 0
15ln + -5no + 9nox + 2nox2 = 1 + 0 + 2lnx + lnx2
15ln + -5no + 9nox + 2nox2 = 1 + 2lnx + lnx2

Add '-2lnx' to each side of the equation.
15ln + -5no + 9nox + -2lnx + 2nox2 = 1 + 2lnx + -2lnx + lnx2

Reorder the terms:
15ln + -2lnx + -5no + 9nox + 2nox2 = 1 + 2lnx + -2lnx + lnx2

Combine like terms: 2lnx + -2lnx = 0
15ln + -2lnx + -5no + 9nox + 2nox2 = 1 + 0 + lnx2
15ln + -2lnx + -5no + 9nox + 2nox2 = 1 + lnx2

Add '-1lnx2' to each side of the equation.
15ln + -2lnx + -5no + 9nox + -1lnx2 + 2nox2 = 1 + lnx2 + -1lnx2

Reorder the terms:
15ln + -2lnx + -1lnx2 + -5no + 9nox + 2nox2 = 1 + lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
15ln + -2lnx + -1lnx2 + -5no + 9nox + 2nox2 = 1 + 0
15ln + -2lnx + -1lnx2 + -5no + 9nox + 2nox2 = 1

Reorder the terms:
-1 + 15ln + -2lnx + -1lnx2 + -5no + 9nox + 2nox2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 15ln + -2lnx + -1lnx2 + -5no + 9nox + 2nox2 = 0

The solution to this equation could not be determined.

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