# Use the technique of completing the square

Hi guys could someone help with this question?

Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a.

6x2 + 36x + 18 = 0

#### DrDank

$$\displaystyle 6x^2+36x+18=0$$
$$\displaystyle 6x^2+36x+54-36=0$$
$$\displaystyle 6x^2+36x+54=36$$
$$\displaystyle 6(x^2+6x+9)=36$$
$$\displaystyle 6(x+3)^2=36$$
$$\displaystyle (x+3)^2=6$$