In(4-x)+in(4x+1)=1

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Solution for In(4-x)+in(4x+1)=1 equation:


Simplifying
In(4 + -1x) + in(4x + 1) = 1
(4 * nI + -1x * nI) + in(4x + 1) = 1
(4nI + -1nxI) + in(4x + 1) = 1

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

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

Solving
1in + 4inx + 4nI + -1nxI = 1

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.
1in + 4inx + 4nI + -4nI + -1nxI = 1 + -4nI

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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