(cos^2*3*x-1)*(tan*x+1)=0

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Solution for (cos^2*3*x-1)*(tan*x+1)=0 equation:


Simplifying
(cos2 * 3x + -1)(tan * x + 1) = 0

Reorder the terms for easier multiplication:
(3cos2 * x + -1)(tan * x + 1) = 0

Multiply cos2 * x
(3cos2x + -1)(tan * x + 1) = 0

Reorder the terms:
(-1 + 3cos2x)(tan * x + 1) = 0

Multiply ant * x
(-1 + 3cos2x)(antx + 1) = 0

Reorder the terms:
(-1 + 3cos2x)(1 + antx) = 0

Multiply (-1 + 3cos2x) * (1 + antx)
(-1(1 + antx) + 3cos2x * (1 + antx)) = 0
((1 * -1 + antx * -1) + 3cos2x * (1 + antx)) = 0
((-1 + -1antx) + 3cos2x * (1 + antx)) = 0
(-1 + -1antx + (1 * 3cos2x + antx * 3cos2x)) = 0

Reorder the terms:
(-1 + -1antx + (3acnos2tx2 + 3cos2x)) = 0
(-1 + -1antx + (3acnos2tx2 + 3cos2x)) = 0

Reorder the terms:
(-1 + 3acnos2tx2 + -1antx + 3cos2x) = 0
(-1 + 3acnos2tx2 + -1antx + 3cos2x) = 0

Solving
-1 + 3acnos2tx2 + -1antx + 3cos2x = 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 + 3acnos2tx2 + -1antx + 1 + 3cos2x = 0 + 1

Reorder the terms:
-1 + 1 + 3acnos2tx2 + -1antx + 3cos2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3acnos2tx2 + -1antx + 3cos2x = 0 + 1
3acnos2tx2 + -1antx + 3cos2x = 0 + 1

Combine like terms: 0 + 1 = 1
3acnos2tx2 + -1antx + 3cos2x = 1

Add '-3cos2x' to each side of the equation.
3acnos2tx2 + -1antx + 3cos2x + -3cos2x = 1 + -3cos2x

Combine like terms: 3cos2x + -3cos2x = 0
3acnos2tx2 + -1antx + 0 = 1 + -3cos2x
3acnos2tx2 + -1antx = 1 + -3cos2x

Reorder the terms:
-1 + 3acnos2tx2 + -1antx + 3cos2x = 1 + -3cos2x + -1 + 3cos2x

Reorder the terms:
-1 + 3acnos2tx2 + -1antx + 3cos2x = 1 + -1 + -3cos2x + 3cos2x

Combine like terms: 1 + -1 = 0
-1 + 3acnos2tx2 + -1antx + 3cos2x = 0 + -3cos2x + 3cos2x
-1 + 3acnos2tx2 + -1antx + 3cos2x = -3cos2x + 3cos2x

Combine like terms: -3cos2x + 3cos2x = 0
-1 + 3acnos2tx2 + -1antx + 3cos2x = 0

The solution to this equation could not be determined.

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