x=tanh(ax)

Solution for x=tanh(ax) equation:

Simplifying
x = tanh(ax)

Multiply ahnt * ax
x = a2hntx

Solving
x = a2hntx

Solving for variable 'x'.

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

Add '-1a2hntx' to each side of the equation.
-1a2hntx + x = a2hntx + -1a2hntx

Combine like terms: a2hntx + -1a2hntx = 0
-1a2hntx + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1a2hnt + 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 '(-1a2hnt + 1)' equal to zero and attempt to solve:

Simplifying
-1a2hnt + 1 = 0

Reorder the terms:
1 + -1a2hnt = 0

Solving
1 + -1a2hnt = 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 + -1a2hnt = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1a2hnt = 0 + -1
-1a2hnt = 0 + -1

Combine like terms: 0 + -1 = -1
-1a2hnt = -1

Add 'a2hnt' to each side of the equation.
-1a2hnt + a2hnt = -1 + a2hnt

Combine like terms: -1a2hnt + a2hnt = 0
0 = -1 + a2hnt

Simplifying
0 = -1 + a2hnt

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}