5x=tanh(9x)

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Solution for 5x=tanh(9x) equation:


Simplifying
5x = tanh(9x)

Remove parenthesis around (9x)
5x = ahnt * 9x

Reorder the terms for easier multiplication:
5x = 9ahnt * x

Multiply ahnt * x
5x = 9ahntx

Solving
5x = 9ahntx

Solving for variable 'x'.

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

Add '-9ahntx' to each side of the equation.
-9ahntx + 5x = 9ahntx + -9ahntx

Combine like terms: 9ahntx + -9ahntx = 0
-9ahntx + 5x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9ahnt + 5) = 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 '(-9ahnt + 5)' equal to zero and attempt to solve: Simplifying -9ahnt + 5 = 0 Reorder the terms: 5 + -9ahnt = 0 Solving 5 + -9ahnt = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9ahnt = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9ahnt = 0 + -5 -9ahnt = 0 + -5 Combine like terms: 0 + -5 = -5 -9ahnt = -5 Add '9ahnt' to each side of the equation. -9ahnt + 9ahnt = -5 + 9ahnt Combine like terms: -9ahnt + 9ahnt = 0 0 = -5 + 9ahnt Simplifying 0 = -5 + 9ahnt 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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