# How do you solve # sqrt(-10x - 4) = 2x#?

##### 2 Answers

This has no answer. At first glance:

- Square it (including every sign outside the square root).
- Bring everything else to the other side with the 2nd degree term.

You get:

Divide by 2.

Factor.

Check:

As-written, there are no solutions. Math at its core is pure logic that is supposed to *always* be true if done correctly, not just *sometimes* . There has to be a typo on the sign on the left, or it's a trick question. It should be:

if there is to be an answer. This is a result of isolating one result of a square root. It has to be a

**This equation has no solutions.**

Though there could be a typo and it could be:

We can square both sides to get

This gives us a quadratic equation:

Dividing both sides by 2, we get:

We use the **Splitting the Middle Term** technique to factorise the expression on the left

This tells us that

x can take either of these values and both will satisfy the equation