Inx=in(x-1)

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


Simplifying
Inx = in(x + -1)

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

Solving
nxI = -1in + inx

Solving for variable 'n'.

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

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

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

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

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

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


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

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

Simplifying
i + -1ix + xI = 0

Solving
i + -1ix + xI = 0

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

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

Reorder the terms:
i + -1i + -1ix + xI = 0 + -1i

Combine like terms: i + -1i = 0
0 + -1ix + xI = 0 + -1i
-1ix + xI = 0 + -1i
Remove the zero:
-1ix + xI = -1i

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

Combine like terms: -1ix + ix = 0
0 + xI = -1i + ix
xI = -1i + ix

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

Combine like terms: xI + -1xI = 0
0 = -1i + ix + -1xI

Simplifying
0 = -1i + ix + -1xI

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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