ln(x^2+6x+9)+3x=8

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Solution for ln(x^2+6x+9)+3x=8 equation:


Simplifying
ln(x2 + 6x + 9) + 3x = 8

Reorder the terms:
ln(9 + 6x + x2) + 3x = 8
(9 * ln + 6x * ln + x2 * ln) + 3x = 8
(9ln + 6lnx + lnx2) + 3x = 8

Solving
9ln + 6lnx + lnx2 + 3x = 8

Solving for variable 'l'.

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

Add '-3x' to each side of the equation.
9ln + 6lnx + lnx2 + 3x + -3x = 8 + -3x

Combine like terms: 3x + -3x = 0
9ln + 6lnx + lnx2 + 0 = 8 + -3x
9ln + 6lnx + lnx2 = 8 + -3x

Reorder the terms:
-8 + 9ln + 6lnx + lnx2 + 3x = 8 + -3x + -8 + 3x

Reorder the terms:
-8 + 9ln + 6lnx + lnx2 + 3x = 8 + -8 + -3x + 3x

Combine like terms: 8 + -8 = 0
-8 + 9ln + 6lnx + lnx2 + 3x = 0 + -3x + 3x
-8 + 9ln + 6lnx + lnx2 + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 9ln + 6lnx + lnx2 + 3x = 0

The solution to this equation could not be determined.

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