Question

2d^2+5d-3=0

solve

Answer 1

d= 0.443005, -1.693

Answer 2

d=1/2 and d=-3

This is the solution:

Factor the equation 2d^2+5d-3=0 into the following:

(2d-1)(d+3)=0
2d-1=0
2d=1
d=1/2

d+3=0
d=-3

Since there are two factors involved (2d-1) and (d+3), then there are two solutions to the original equation. You can check these two solutions d=1/2 and d=-3 by substituting first d=1/2 into the original equation and you will get zero; and then you can substitute the other value d=-3 into the original equation and again you will get zero.