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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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