# How do you solve sqrt(10x)=10 and check the solution?

Mar 16, 2018

Square both sides and then divide by x's coefficient to get $x = 10$

#### Explanation:

First square both sides:

${\left(\sqrt{10 x}\right)}^{2} = {10}^{2}$

$10 x = 100$

Next, divide by x's coefficient (in this case, it is 10!)

$\frac{10 x}{10} = \frac{100}{10}$

color(red)(x=10