Hi

2x^2-5x-3=0   |Note use of ^(uppercase 6)

factoring

(2x +1)(x-3)= 0 Note:SUM of the inner product(1*x) and the outer product(-6x) = -5x

(2x +1)=0    x = -1/2

  (x-3)= 0   x = 3 

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