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Simplifying (2sin2x + -1) * tan2 * 2x + 6cos2x = 3 Reorder the terms: (-1 + 2in2sx) * tan2 * 2x + 6cos2x = 3 Reorder the terms for easier multiplication: 2an2t * x(-1 + 2in2sx) + 6cos2x = 3 Multiply an2t * x 2an2tx(-1 + 2in2sx) + 6cos2x = 3 (-1 * 2an2tx + 2in2sx * 2an2tx) + 6cos2x = 3 Reorder the terms: (4ain4stx2 + -2an2tx) + 6cos2x = 3 (4ain4stx2 + -2an2tx) + 6cos2x = 3 Solving 4ain4stx2 + -2an2tx + 6cos2x = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6cos2x' to each side of the equation. 4ain4stx2 + -2an2tx + 6cos2x + -6cos2x = 3 + -6cos2x Combine like terms: 6cos2x + -6cos2x = 0 4ain4stx2 + -2an2tx + 0 = 3 + -6cos2x 4ain4stx2 + -2an2tx = 3 + -6cos2x Reorder the terms: -3 + 4ain4stx2 + -2an2tx + 6cos2x = 3 + -6cos2x + -3 + 6cos2x Reorder the terms: -3 + 4ain4stx2 + -2an2tx + 6cos2x = 3 + -3 + -6cos2x + 6cos2x Combine like terms: 3 + -3 = 0 -3 + 4ain4stx2 + -2an2tx + 6cos2x = 0 + -6cos2x + 6cos2x -3 + 4ain4stx2 + -2an2tx + 6cos2x = -6cos2x + 6cos2x Combine like terms: -6cos2x + 6cos2x = 0 -3 + 4ain4stx2 + -2an2tx + 6cos2x = 0 The solution to this equation could not be determined.
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