in(-x)-in(8)=1

Solution for in(-x)-in(8)=1 equation:

Simplifying
in(-1x) + -1in(8) = 1

Remove parenthesis around (-1x)
in * -1x + -1in(8) = 1

Reorder the terms for easier multiplication:
-1in * x + -1in(8) = 1

Multiply in * x
-1inx + -1in(8) = 1

Reorder the terms for easier multiplication:
-1inx + -1 * 8in = 1

Multiply -1 * 8
-1inx + -8in = 1

Reorder the terms:
-8in + -1inx = 1

Solving
-8in + -1inx = 1

Solving for variable 'i'.

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

Reorder the terms:
-1 + -8in + -1inx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -8in + -1inx = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 8in + inx) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(1 + 8in + inx)' equal to zero and attempt to solve:

Simplifying
1 + 8in + inx = 0

Solving
1 + 8in + inx = 0

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

Add '-1' to each side of the equation.
1 + 8in + -1 + inx = 0 + -1

Reorder the terms:
1 + -1 + 8in + inx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8in + inx = 0 + -1
8in + inx = 0 + -1

Combine like terms: 0 + -1 = -1
8in + inx = -1

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.