Answer:
C. x=-1/2 and F. x=-3
Step-by-step explanation:
We can solve this by factoring. We will look for factors of a*c, 2*3, that sum to b, 7. Factors of 6 are:
1 and 6; these sum to 7.
2 and 3; these do not sum to 7.
We will use 1 and 6. We will split bx, 7x, into 1x and 6x:
2x²+1x+6x+3 = 0
We will group the first two and the last two terms together:
(2x²+1x)+(6x+3) = 0
We will factor out the GCF of each group. The GCF of the first group is 1x:
1x(2x+1)+(6x+3) = 0
The GCF of the second group is 3:
1x(2x+1)+3(2x+1) = 0
The GCF of the two terms remaining is (2x+1); factoring this out,
(2x+1)(1x+3) = 0
Using the zero product property,
2x+1 = 0 or 1x+3 = 0
To solve the first equation, subtract 1 from each side:
2x+1-1 = 0-1
2x = -1
Divide both sides by 2:
2x/2 = -1/2
x = -1/2
To solve the second equation, subtract 3 from each side:
1x+3-3 = 0-3
x = -3
