# How do you solve #7x^2=-21#?

##### 2 Answers

See a solution process below:

#### Explanation:

First, divide each side of the equation by

Next, we would take the square root of each side of the equation to solve for

However, there is no Real solution for the square root of a negative number, in this case the

Therefore, there is no real solution or the solution set is the empty or null set:

No real solutions but rather, two complex solution :

#### Explanation:

Divide

There are no "real solutions" since the number inside the radical is negative but there are two "complex" solutions:

We can rewrite the expression above as:

*Recall that

Therefore we can simplify the expression as: