# How do you solve #x^2+12x=-32#?

##### 2 Answers

#### Explanation:

Whenever we're dealing with quadratics, we want to set them equal to zero. We can do this by adding

Next, we need to think of 2 numbers that sum to

After some trial and error, we arrive at

and

Thus, we have:

The zeroes will be the opposite sign, and we get:

Hope this helps!

-4, and - 8

#### Explanation:

Solve this equation by the new Transforming Method (Socratic, Google Search), Case a = 1.

Find 2 real roots, that are both negative (ac > 0; ab > 0) knowing their sum (- b = - 12) and their product (c = 32).

They are: -4 and - 8.

**Note** . This method directly gives the 2 real roots. We don't have to factor by grouping and to solve the 2 binomials.