# How do you solve the equation sqrt(10c)+2=5?

Apr 29, 2017

See the solution process below:

#### Explanation:

First, subtract $\textcolor{red}{2}$ from each side of the equation to isolate the square root term while keeping the equation balanced:

$\sqrt{10 c} + 2 - \textcolor{red}{2} = 5 - \textcolor{red}{2}$

$\sqrt{10 c} + 0 = 3$

$\sqrt{10 c} = 3$

Next, square each side of the function to eliminate the square root while keeping the equation balanced:

${\left(\sqrt{10 c}\right)}^{2} = {3}^{2}$

$10 c = 9$

Now, divide each side of the equation by $\textcolor{red}{10}$ to solve for $x$ while keeping the equation balanced:

$\frac{10 c}{\textcolor{red}{10}} = \frac{9}{\textcolor{red}{10}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{10}}} c}{\cancel{\textcolor{red}{10}}} = \frac{9}{10}$

$c = \frac{9}{10}$