(2sin^2x-1)(3tan^2x-1)=0

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Solution for (2sin^2x-1)(3tan^2x-1)=0 equation: 


Simplifying
(2sin2x + -1)(3tan2x + -1) = 0

Reorder the terms:
(-1 + 2in2sx)(3tan2x + -1) = 0

Reorder the terms:
(-1 + 2in2sx)(-1 + 3an2tx) = 0

Multiply (-1 + 2in2sx) * (-1 + 3an2tx)
(-1(-1 + 3an2tx) + 2in2sx * (-1 + 3an2tx)) = 0
((-1 * -1 + 3an2tx * -1) + 2in2sx * (-1 + 3an2tx)) = 0
((1 + -3an2tx) + 2in2sx * (-1 + 3an2tx)) = 0
(1 + -3an2tx + (-1 * 2in2sx + 3an2tx * 2in2sx)) = 0

Reorder the terms:
(1 + -3an2tx + (6ain4stx2 + -2in2sx)) = 0
(1 + -3an2tx + (6ain4stx2 + -2in2sx)) = 0

Reorder the terms:
(1 + 6ain4stx2 + -3an2tx + -2in2sx) = 0
(1 + 6ain4stx2 + -3an2tx + -2in2sx) = 0

Solving
1 + 6ain4stx2 + -3an2tx + -2in2sx = 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 + 6ain4stx2 + -3an2tx + -1 + -2in2sx = 0 + -1

Reorder the terms:
1 + -1 + 6ain4stx2 + -3an2tx + -2in2sx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6ain4stx2 + -3an2tx + -2in2sx = 0 + -1
6ain4stx2 + -3an2tx + -2in2sx = 0 + -1

Combine like terms: 0 + -1 = -1
6ain4stx2 + -3an2tx + -2in2sx = -1

Add '2in2sx' to each side of the equation.
6ain4stx2 + -3an2tx + -2in2sx + 2in2sx = -1 + 2in2sx

Combine like terms: -2in2sx + 2in2sx = 0
6ain4stx2 + -3an2tx + 0 = -1 + 2in2sx
6ain4stx2 + -3an2tx = -1 + 2in2sx

Reorder the terms:
1 + 6ain4stx2 + -3an2tx + -2in2sx = -1 + 2in2sx + 1 + -2in2sx

Reorder the terms:
1 + 6ain4stx2 + -3an2tx + -2in2sx = -1 + 1 + 2in2sx + -2in2sx

Combine like terms: -1 + 1 = 0
1 + 6ain4stx2 + -3an2tx + -2in2sx = 0 + 2in2sx + -2in2sx
1 + 6ain4stx2 + -3an2tx + -2in2sx = 2in2sx + -2in2sx

Combine like terms: 2in2sx + -2in2sx = 0
1 + 6ain4stx2 + -3an2tx + -2in2sx = 0

The solution to this equation could not be determined.

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