What are the solutions to the quadratic equation 3x² - 7x - 6 = 0?

Explanation

To solve 3x² - 7x - 6 = 0, factor the equation as follows: 3x² - 9x + 2x - 6 = 0, which can be rewritten as 3x(x - 3) + 2(x - 3) = 0. Factoring out (x - 3), we get (x - 3)(3x + 2) = 0. Setting each factor equal to zero gives the roots x = 3 and x = -2/3.