Tan(x)tan(5x)=1

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Solution for Tan(x)tan(5x)=1 equation:


Simplifying
Tan(x) * tan(5x) = 1

Remove parenthesis around (5x)
anT * x * ant * 5x = 1

Reorder the terms for easier multiplication:
5anT * x * ant * x = 1

Multiply anT * x
5anxT * ant * x = 1

Multiply anxT * ant
5a2n2txT * x = 1

Multiply a2n2txT * x
5a2n2tx2T = 1

Solving
5a2n2tx2T = 1

Solving for variable 'a'.

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

Divide each side by '5n2tx2T'.
a2 = 0.2n-2t-1x-2T-1

Simplifying
a2 = 0.2n-2t-1x-2T-1

Combine like terms: 0.2n-2t-1x-2T-1 + -0.2n-2t-1x-2T-1 = 0.0
a2 + -0.2n-2t-1x-2T-1 = 0.0

The solution to this equation could not be determined.

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