Tan(3x)*tan(x)-1=0

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Solution for Tan(3x)*tan(x)-1=0 equation:


Simplifying
Tan(3x) * tan(x) + -1 = 0

Remove parenthesis around (3x)
anT * 3x * tan(x) + -1 = 0

Reorder the terms for easier multiplication:
3anT * x * ant * x + -1 = 0

Multiply anT * x
3anxT * ant * x + -1 = 0

Multiply anxT * ant
3a2n2txT * x + -1 = 0

Multiply a2n2txT * x
3a2n2tx2T + -1 = 0

Reorder the terms:
-1 + 3a2n2tx2T = 0

Solving
-1 + 3a2n2tx2T = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 3a2n2tx2T = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3a2n2tx2T = 0 + 1
3a2n2tx2T = 0 + 1

Combine like terms: 0 + 1 = 1
3a2n2tx2T = 1

Divide each side by '3n2tx2T'.
a2 = 0.3333333333n-2t-1x-2T-1

Simplifying
a2 = 0.3333333333n-2t-1x-2T-1

Combine like terms: 0.3333333333n-2t-1x-2T-1 + -0.3333333333n-2t-1x-2T-1 = 0.0000000000
a2 + -0.3333333333n-2t-1x-2T-1 = 0.0000000000

The solution to this equation could not be determined.

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