in(x)+in(x+3)=in(4)

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Solution for in(x)+in(x+3)=in(4) equation: 


Simplifying
in(x) + in(x + 3) = in(4)

Multiply in * x
inx + in(x + 3) = in(4)

Reorder the terms:
inx + in(3 + x) = in(4)
inx + (3 * in + x * in) = in(4)
inx + (3in + inx) = in(4)

Reorder the terms:
3in + inx + inx = in(4)

Combine like terms: inx + inx = 2inx
3in + 2inx = in(4)

Reorder the terms for easier multiplication:
3in + 2inx = 4in

Solving
3in + 2inx = 4in

Solving for variable 'i'.

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

Add '-4in' to each side of the equation.
3in + -4in + 2inx = 4in + -4in

Combine like terms: 3in + -4in = -1in
-1in + 2inx = 4in + -4in

Combine like terms: 4in + -4in = 0
-1in + 2inx = 0

Factor out the Greatest Common Factor (GCF), 'in'.
in(-1 + 2x) = 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 '(-1 + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + 2x = 0

Solving
-1 + 2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 0 + 1
2x = 0 + 1

Combine like terms: 0 + 1 = 1
2x = 1

Add '-2x' to each side of the equation.
2x + -2x = 1 + -2x

Combine like terms: 2x + -2x = 0
0 = 1 + -2x

Simplifying
0 = 1 + -2x

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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