Question

20 POINTS
What are the solutions to the equation (x+2)(3x +1) = 0? Select all that apply.
A. X= -2
B. X= 2
C. X= -1/3
D. X= 1/3

Answer 1

Answer:

A. x = -2 and C. x = -1/3

Step-by-step explanation:

$(x+2)(3x+1)=0\\\\\text{The product is equal to 0 if one of the factors is equal to 0.}\\\\x+2=0\ \vee\ 3x+1=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\3x+1=0\qquad\text{subtract 1 from both sides}\\3x=-1\qquad\text{divide both sides by 3}\\\boxed{x=-\dfrac{1}{3}}$