What are the zeros of the function represented by the quadratic expression 2x^2-5x-3 show work

 2x2-5x-3=0 

Two solutions were found :

 x = -1/2 = -0.500

 x = 3

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(2x2 - 5x) - 3 = 0

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  2x2-5x-3 

The first term is,  2x2  its coefficient is  2 .
The middle term is,  -5x  its coefficient is  -5 .
The last term, "the constant", is  -3 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -3 = -6 

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   -5 .

The sum is 2,160, no problem