## Answers

See a solution process below:

#### Explanation:

First, add

Next, we can factor the left side of the equation as:

Now, solve each term on the left for

**Solution 1:**

**Solution 2:**

**The Solutions Are:**

#### Explanation:

#"rearrange and equate to zero"#

#rArr3x^2+13x+4=0#

#"the factors of the product of 12 which sum to 13 are"#

#"12 and 1"#

#"split the x-term and factor by grouping"#

#3x^2+12x+x+4=0#

#color(red)(3x)(x+4)color(red)(+1)(x+4)=0#

#"factor out "(x+4)#

#rArr(x+4)(color(red)(3x+1))=0#

#"equate each factor to zero and solve for x"#

#x+4=0rArrx=-4#

#3x+1=0rArrx=-1/3#