Inga is solving 2x2 + 12x - 3 = 0. Which steps could she use to solve the quadratic equation? Check all that apply.

2 (x2 + 6x + 9) = 3 + 18

2 (x2 + 6x) = - 3

2 (x2 + 6x) = 3

x + 3 =

2 (x2 + 6x + 9) = - 3 + 9

(x + 3) 2 =

The answers are:

1. 2 (x2 + 6x + 9) = 3 + 18

2. 2 (x2 + 6x) = 3

Let's take a look at the first choice:

2 (x ² + 6x + 9) = 3 + 18

Now, we will multiply 2 with every member of the other multiplier on the left side:

2·x² + 2·6x + 2·9 = 3 + 18

2x² + 12x + 18 = 3 + 18

2x² + 12x - 3 = 18 - 18

2x² + 12x - 3 = 0

Let's take a look at the second choice:

2 (x² + 6x) = 3

Now, we will multiply 2 with every member of the other multiplier on the left side:

2·x² + 2·6x = 3

2x² + 12x = 3

2x² + 12x - 3 = 0