in(x-2)+in(2x+-3)=2inx

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


Simplifying
in(x + -2) + in(2x + -3) = 2inx

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

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

Reorder the terms:
-2in + -3in + inx + 2inx = 2inx

Combine like terms: -2in + -3in = -5in
-5in + inx + 2inx = 2inx

Combine like terms: inx + 2inx = 3inx
-5in + 3inx = 2inx

Solving
-5in + 3inx = 2inx

Solving for variable 'i'.

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

Add '-2inx' to each side of the equation.
-5in + 3inx + -2inx = 2inx + -2inx

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

Combine like terms: 2inx + -2inx = 0
-5in + 1inx = 0

Factor out the Greatest Common Factor (GCF), 'in'.
in(-5 + x) = 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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

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

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

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

Add '-1x' to each side of the equation.
x + -1x = 5 + -1x

Combine like terms: x + -1x = 0
0 = 5 + -1x

Simplifying
0 = 5 + -1x

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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