To solve the quadratic equation 6x² + 10x = 0, we first factor out the common term:
6x(x + rac{5}{3}) = 0
Setting each factor to zero gives us:
- 6x = 0 → x = 0
- x + rac{5}{3} = 0 → x = - rac{5}{3}
Thus, the solutions in simplest radical form for the equation 6x² + 10x = 0 are:
- x = 0
- x = - rac{5}{3}