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

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


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

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

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

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

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

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

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

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + 2ain4stx2 + -1an2tx + -3 + -6in2sx = 0 + -3

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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