Answer:
x = 1/2 x=-3
Step-by-step explanation:
2x^2 + 5x = 3
Subtract 3 from each side
2x^2 + 5x - 3 = 3-3
2x^2 + 5x -3=0
(2x )(x )
Since we need to multiply to -3, the factors are
-1,3 or 1.-3
We need to add to 5
We will want to multiply the 2 and 3 and this will need to be positive
(2x ) (x + 3 )
The 1 will be negative
(2x -1 ) (x + 3 ) =0
Using the zero product property
(2x -1 ) =0 (x + 3 ) =0
2x-1+1=0+1 x+3-3=0-3
2x =1 x=-3
x = 1/2 x=-3
