In(x+4)+8=x^3-4x^2+3x-5

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Solution for In(x+4)+8=x^3-4x^2+3x-5 equation:


Simplifying
In(x + 4) + 8 = x3 + -4x2 + 3x + -5

Reorder the terms:
nI(4 + x) + 8 = x3 + -4x2 + 3x + -5
(4 * nI + x * nI) + 8 = x3 + -4x2 + 3x + -5
(4nI + nxI) + 8 = x3 + -4x2 + 3x + -5

Reorder the terms:
8 + 4nI + nxI = x3 + -4x2 + 3x + -5

Reorder the terms:
8 + 4nI + nxI = -5 + 3x + -4x2 + x3

Solving
8 + 4nI + nxI = -5 + 3x + -4x2 + x3

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + 4nI + -8 + nxI = -5 + 3x + -4x2 + -8 + x3

Reorder the terms:
8 + -8 + 4nI + nxI = -5 + 3x + -4x2 + -8 + x3

Combine like terms: 8 + -8 = 0
0 + 4nI + nxI = -5 + 3x + -4x2 + -8 + x3
4nI + nxI = -5 + 3x + -4x2 + -8 + x3

Reorder the terms:
4nI + nxI = -5 + -8 + 3x + -4x2 + x3

Combine like terms: -5 + -8 = -13
4nI + nxI = -13 + 3x + -4x2 + x3

Reorder the terms:
13 + 4nI + nxI + -3x + 4x2 + -1x3 = -13 + 3x + -4x2 + x3 + 13 + -3x + 4x2 + -1x3

Reorder the terms:
13 + 4nI + nxI + -3x + 4x2 + -1x3 = -13 + 13 + 3x + -3x + -4x2 + 4x2 + x3 + -1x3

Combine like terms: -13 + 13 = 0
13 + 4nI + nxI + -3x + 4x2 + -1x3 = 0 + 3x + -3x + -4x2 + 4x2 + x3 + -1x3
13 + 4nI + nxI + -3x + 4x2 + -1x3 = 3x + -3x + -4x2 + 4x2 + x3 + -1x3

Combine like terms: 3x + -3x = 0
13 + 4nI + nxI + -3x + 4x2 + -1x3 = 0 + -4x2 + 4x2 + x3 + -1x3
13 + 4nI + nxI + -3x + 4x2 + -1x3 = -4x2 + 4x2 + x3 + -1x3

Combine like terms: -4x2 + 4x2 = 0
13 + 4nI + nxI + -3x + 4x2 + -1x3 = 0 + x3 + -1x3
13 + 4nI + nxI + -3x + 4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
13 + 4nI + nxI + -3x + 4x2 + -1x3 = 0

The solution to this equation could not be determined.

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