x=tanh[x]

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Solution for x=tanh[x] equation:


Simplifying
x = tanh[x]

Multiply ahnt * x
x = ahntx

Solving
x = ahntx

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1ahnt + 1) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1ahnt + 1)' equal to zero and attempt to solve: Simplifying -1ahnt + 1 = 0 Reorder the terms: 1 + -1ahnt = 0 Solving 1 + -1ahnt = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1ahnt = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1ahnt = 0 + -1 -1ahnt = 0 + -1 Combine like terms: 0 + -1 = -1 -1ahnt = -1 Add 'ahnt' to each side of the equation. -1ahnt + ahnt = -1 + ahnt Combine like terms: -1ahnt + ahnt = 0 0 = -1 + ahnt Simplifying 0 = -1 + ahnt The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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