The restrictions for the equation is that the denominator can not be zero. So the restrictions for x would be what values make the denominator zero.
7x^2 + 6x = 0 factor x(7x + 6) = 0 multiply any number by 0 and you get 0. So either x = 0 or 7x+6 = 0 since there's a x in the numerator x/x = 1 so this will not be a restriction. Then the only restriction is: 7x+6 = 0 7x = -6 x = -6/7
