In(2x-4)3=6

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Solution for In(2x-4)3=6 equation:


Simplifying
In(2x + -4) * 3 = 6

Reorder the terms:
nI(-4 + 2x) * 3 = 6

Reorder the terms for easier multiplication:
3nI(-4 + 2x) = 6
(-4 * 3nI + 2x * 3nI) = 6
(-12nI + 6nxI) = 6

Solving
-12nI + 6nxI = 6

Solving for variable 'n'.

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

Reorder the terms:
-6 + -12nI + 6nxI = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -12nI + 6nxI = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + -2nI + nxI) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-1 + -2nI + nxI)' equal to zero and attempt to solve: Simplifying -1 + -2nI + nxI = 0 Solving -1 + -2nI + nxI = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2nI + 1 + nxI = 0 + 1 Reorder the terms: -1 + 1 + -2nI + nxI = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2nI + nxI = 0 + 1 -2nI + nxI = 0 + 1 Combine like terms: 0 + 1 = 1 -2nI + nxI = 1 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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