Question

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

Answer 1

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

Answer 2

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