in(3x-1)+in(2x)=in(8)

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Solution for in(3x-1)+in(2x)=in(8) equation: 


Simplifying
in(3x + -1) + in(2x) = in(8)

Reorder the terms:
in(-1 + 3x) + in(2x) = in(8)
(-1 * in + 3x * in) + in(2x) = in(8)
(-1in + 3inx) + in(2x) = in(8)

Remove parenthesis around (2x)
-1in + 3inx + in * 2x = in(8)

Reorder the terms for easier multiplication:
-1in + 3inx + 2in * x = in(8)

Multiply in * x
-1in + 3inx + 2inx = in(8)

Combine like terms: 3inx + 2inx = 5inx
-1in + 5inx = in(8)

Reorder the terms for easier multiplication:
-1in + 5inx = 8in

Solving
-1in + 5inx = 8in

Solving for variable 'i'.

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

Add '-8in' to each side of the equation.
-1in + -8in + 5inx = 8in + -8in

Combine like terms: -1in + -8in = -9in
-9in + 5inx = 8in + -8in

Combine like terms: 8in + -8in = 0
-9in + 5inx = 0

Factor out the Greatest Common Factor (GCF), 'in'.
in(-9 + 5x) = 0


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

Simplifying
in = 0

Solving
in = 0

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

Simplifying
in = 0

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 '(-9 + 5x)' equal to zero and attempt to solve:

Simplifying
-9 + 5x = 0

Solving
-9 + 5x = 0

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

Add '9' to each side of the equation.
-9 + 9 + 5x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 0 + 9
5x = 0 + 9

Combine like terms: 0 + 9 = 9
5x = 9

Add '-5x' to each side of the equation.
5x + -5x = 9 + -5x

Combine like terms: 5x + -5x = 0
0 = 9 + -5x

Simplifying
0 = 9 + -5x

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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