3x^2+3x+2y=0 complete the square and reduce to one standard form y-b=a(x-a)^2 or x-a=a(y-b)^2

The required form is

Step-by-step explanation:

Given : Function

To find : Complete the square and reduce to one standard form ?

Solution :

Converting the functio into given standard form,

Taking y one side,

Divide by 3 both side,

Applying completing the square i.e. add half square both side,

Divide by both side,

This form relates to  

Where,

Therefore, The required form is

the answer is 13 cm