tg(7x)*tg(5x)=1

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Solution for tg(7x)*tg(5x)=1 equation: 


Simplifying
tg(7x) * tg(5x) = 1

Remove parenthesis around (7x)
gt * 7x * tg(5x) = 1

Remove parenthesis around (5x)
gt * 7x * gt * 5x = 1

Reorder the terms for easier multiplication:
7 * 5gt * x * gt * x = 1

Multiply 7 * 5
35gt * x * gt * x = 1

Multiply gt * x
35gtx * gt * x = 1

Multiply gtx * gt
35g2t2x * x = 1

Multiply g2t2x * x
35g2t2x2 = 1

Solving
35g2t2x2 = 1

Solving for variable 'g'.

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

Divide each side by '35t2x2'.
g2 = 0.02857142857t-2x-2

Simplifying
g2 = 0.02857142857t-2x-2

Take the square root of each side:
g = {-0.169030851t-1x-1, 0.169030851t-1x-1}

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