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Simplifying Tan(2x + -5) + -1cot(x + 1) = 0 Reorder the terms: anT(-5 + 2x) + -1cot(x + 1) = 0 (-5 * anT + 2x * anT) + -1cot(x + 1) = 0 (-5anT + 2anxT) + -1cot(x + 1) = 0 Reorder the terms: -5anT + 2anxT + -1cot(1 + x) = 0 -5anT + 2anxT + (1 * -1cot + x * -1cot) = 0 -5anT + 2anxT + (-1cot + -1cotx) = 0 Solving -5anT + 2anxT + -1cot + -1cotx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'cot' to each side of the equation. -5anT + 2anxT + -1cot + cot + -1cotx = 0 + cot Combine like terms: -1cot + cot = 0 -5anT + 2anxT + 0 + -1cotx = 0 + cot -5anT + 2anxT + -1cotx = 0 + cot Remove the zero: -5anT + 2anxT + -1cotx = cot Add 'cotx' to each side of the equation. -5anT + 2anxT + -1cotx + cotx = cot + cotx Combine like terms: -1cotx + cotx = 0 -5anT + 2anxT + 0 = cot + cotx -5anT + 2anxT = cot + cotx Reorder the terms: -5anT + 2anxT + -1cot + -1cotx = cot + -1cot + cotx + -1cotx Combine like terms: cot + -1cot = 0 -5anT + 2anxT + -1cot + -1cotx = 0 + cotx + -1cotx -5anT + 2anxT + -1cot + -1cotx = cotx + -1cotx Combine like terms: cotx + -1cotx = 0 -5anT + 2anxT + -1cot + -1cotx = 0 The solution to this equation could not be determined.
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