6x^2 + 17x + 5 = 0 factor this equation

6*5=30

Common factor is + 2 and + 15

6x exponent 2 + 2x+15x+5

2x (3x+1) + 5 (3x+1)

(2x+5) + (3x+1)

Therefore the factors are

-5/2 and - 1/3

Use the ac method

ac = 6 * 5 = 30

Now we need some factors of 30 that give us + 17 when we add them:-

15 and 2 look good So we can write

6x^2 + 15x + 2x + 5 = 0

swap middle terms:-

6x^2 + 2x + 15x + 5 = =

2x (3x + 1) + 5 (3x + 1) 3x + 1 is common so : -

(2x + 5) (3x + 1) = 0

x = - 5/2, - 1/3