in(4-2x)+in(9-3x)=2in(x+1)

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Solution for in(4-2x)+in(9-3x)=2in(x+1) equation: 


Simplifying
in(4 + -2x) + in(9 + -3x) = 2in(x + 1)
(4 * in + -2x * in) + in(9 + -3x) = 2in(x + 1)
(4in + -2inx) + in(9 + -3x) = 2in(x + 1)
4in + -2inx + (9 * in + -3x * in) = 2in(x + 1)
4in + -2inx + (9in + -3inx) = 2in(x + 1)

Reorder the terms:
4in + 9in + -2inx + -3inx = 2in(x + 1)

Combine like terms: 4in + 9in = 13in
13in + -2inx + -3inx = 2in(x + 1)

Combine like terms: -2inx + -3inx = -5inx
13in + -5inx = 2in(x + 1)

Reorder the terms:
13in + -5inx = 2in(1 + x)
13in + -5inx = (1 * 2in + x * 2in)
13in + -5inx = (2in + 2inx)

Solving
13in + -5inx = 2in + 2inx

Solving for variable 'i'.

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

Add '-2in' to each side of the equation.
13in + -2in + -5inx = 2in + -2in + 2inx

Combine like terms: 13in + -2in = 11in
11in + -5inx = 2in + -2in + 2inx

Combine like terms: 2in + -2in = 0
11in + -5inx = 0 + 2inx
11in + -5inx = 2inx

Add '-2inx' to each side of the equation.
11in + -5inx + -2inx = 2inx + -2inx

Combine like terms: -5inx + -2inx = -7inx
11in + -7inx = 2inx + -2inx

Combine like terms: 2inx + -2inx = 0
11in + -7inx = 0

Factor out the Greatest Common Factor (GCF), 'in'.
in(11 + -7x) = 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 '(11 + -7x)' equal to zero and attempt to solve:

Simplifying
11 + -7x = 0

Solving
11 + -7x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 0 + -11
-7x = 0 + -11

Combine like terms: 0 + -11 = -11
-7x = -11

Add '7x' to each side of the equation.
-7x + 7x = -11 + 7x

Combine like terms: -7x + 7x = 0
0 = -11 + 7x

Simplifying
0 = -11 + 7x

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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