To solve this quadratic equation we follow the steps
1) multiply the coefficient of x^2 and constant term = -30
2) Now we split -30 as product of two numbers and if we add that two numbers we get the coefficient of x.
i.e., -30 = (-6)x(5)
3) 2x^2-6x+5x-15=0 ==> 2x(x-3)+5(x-3)=0
4) 2x+5=0, x-3=0
5) x=-5/2, x=3
Finally we get the roots of x are x=0,3,-5/2