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Simplifying tan3x + -1 = 3tan2x + -3tanx Reorder the terms: -1 + an3tx = 3tan2x + -3tanx Reorder the terms: -1 + an3tx = -3antx + 3an2tx Solving -1 + an3tx = -3antx + 3an2tx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3antx' to each side of the equation. -1 + 3antx + an3tx = -3antx + 3antx + 3an2tx Combine like terms: -3antx + 3antx = 0 -1 + 3antx + an3tx = 0 + 3an2tx -1 + 3antx + an3tx = 3an2tx Add '-3an2tx' to each side of the equation. -1 + 3antx + -3an2tx + an3tx = 3an2tx + -3an2tx Combine like terms: 3an2tx + -3an2tx = 0 -1 + 3antx + -3an2tx + an3tx = 0 Add '1' to each side of the equation. -1 + 3antx + -3an2tx + 1 + an3tx = 0 + 1 Reorder the terms: -1 + 1 + 3antx + -3an2tx + an3tx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3antx + -3an2tx + an3tx = 0 + 1 3antx + -3an2tx + an3tx = 0 + 1 Combine like terms: 0 + 1 = 1 3antx + -3an2tx + an3tx = 1 Reorder the terms: -1 + 3antx + -3an2tx + an3tx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 3antx + -3an2tx + an3tx = 0 The solution to this equation could not be determined.
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