in(6-x)+in(-5-x)=in(2-5x)

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Solution for in(6-x)+in(-5-x)=in(2-5x) equation:


Simplifying
in(6 + -1x) + in(-5 + -1x) = in(2 + -5x)
(6 * in + -1x * in) + in(-5 + -1x) = in(2 + -5x)
(6in + -1inx) + in(-5 + -1x) = in(2 + -5x)
6in + -1inx + (-5 * in + -1x * in) = in(2 + -5x)
6in + -1inx + (-5in + -1inx) = in(2 + -5x)

Reorder the terms:
6in + -5in + -1inx + -1inx = in(2 + -5x)

Combine like terms: 6in + -5in = 1in
1in + -1inx + -1inx = in(2 + -5x)

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

Solving
1in + -2inx = 2in + -5inx

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.
1in + -2in + -2inx = 2in + -2in + -5inx

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

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

Add '5inx' to each side of the equation.
-1in + -2inx + 5inx = -5inx + 5inx

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

Combine like terms: -5inx + 5inx = 0
-1in + 3inx = 0

Factor out the Greatest Common Factor (GCF), 'in'.
in(-1 + 3x) = 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 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 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 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Add '-3x' to each side of the equation. 3x + -3x = 1 + -3x Combine like terms: 3x + -3x = 0 0 = 1 + -3x Simplifying 0 = 1 + -3x 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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