Solve the following equation by the method of your choice 3x

Solve the following equation by the method of your choice (3x - 8)(x + 1) = 1 The solution set is {}.

We have (3x-8)(x+1) =1 or, 3x²+3x-8x-8-1 = 0 or, 3x²-5x -9 = 0. Now, on using the quadratic formula, we have x = [-(-5)±{ (-5)²-4*3*(-9)}]/2*3 = [5±(25+108)]/6 = (5±133)/6 Thus either x = (5-133)/6 or, x = (5+133)/6. The solution set is x = ((5-133)/6, (5+133)/6)).