In(3x+4)+in(2-x)=0

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Solution for In(3x+4)+in(2-x)=0 equation: 


Simplifying
In(3x + 4) + in(2 + -1x) = 0

Reorder the terms:
nI(4 + 3x) + in(2 + -1x) = 0
(4 * nI + 3x * nI) + in(2 + -1x) = 0
(4nI + 3nxI) + in(2 + -1x) = 0
4nI + 3nxI + (2 * in + -1x * in) = 0
4nI + 3nxI + (2in + -1inx) = 0

Reorder the terms:
2in + -1inx + 4nI + 3nxI = 0

Solving
2in + -1inx + 4nI + 3nxI = 0

Solving for variable 'i'.

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

Add '-4nI' to each side of the equation.
2in + -1inx + 4nI + -4nI + 3nxI = 0 + -4nI

Combine like terms: 4nI + -4nI = 0
2in + -1inx + 0 + 3nxI = 0 + -4nI
2in + -1inx + 3nxI = 0 + -4nI
Remove the zero:
2in + -1inx + 3nxI = -4nI

Add '-3nxI' to each side of the equation.
2in + -1inx + 3nxI + -3nxI = -4nI + -3nxI

Combine like terms: 3nxI + -3nxI = 0
2in + -1inx + 0 = -4nI + -3nxI
2in + -1inx = -4nI + -3nxI

Reorder the terms:
2in + -1inx + 4nI + 3nxI = -4nI + 4nI + -3nxI + 3nxI

Combine like terms: -4nI + 4nI = 0
2in + -1inx + 4nI + 3nxI = 0 + -3nxI + 3nxI
2in + -1inx + 4nI + 3nxI = -3nxI + 3nxI

Combine like terms: -3nxI + 3nxI = 0
2in + -1inx + 4nI + 3nxI = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(2i + -1ix + 4I + 3xI) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2i + -1ix + 4I + 3xI)' equal to zero and attempt to solve:

Simplifying
2i + -1ix + 4I + 3xI = 0

Reorder the terms:
4I + 2i + -1ix + 3xI = 0

Solving
4I + 2i + -1ix + 3xI = 0

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

Add '-4I' to each side of the equation.
4I + 2i + -1ix + -4I + 3xI = 0 + -4I

Reorder the terms:
4I + -4I + 2i + -1ix + 3xI = 0 + -4I

Combine like terms: 4I + -4I = 0
0 + 2i + -1ix + 3xI = 0 + -4I
2i + -1ix + 3xI = 0 + -4I
Remove the zero:
2i + -1ix + 3xI = -4I

Add '-3xI' to each side of the equation.
2i + -1ix + 3xI + -3xI = -4I + -3xI

Combine like terms: 3xI + -3xI = 0
2i + -1ix + 0 = -4I + -3xI
2i + -1ix = -4I + -3xI

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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