Answer
no solution
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
\sqrt{2x}+10=4
,$ isolate the radical expression. Then analyze the resulting equation.
$\bf{\text{Solution Details:}}$
Using the properties of equality to isolate the radical expression results to
\begin{array}{l}\require{cancel}
\sqrt{2x}=4-10
\\\\
\sqrt{2x}=-6
.\end{array}
For any real number $x,$ the expression at the left side always gives a positive number since the symbol $\sqrt{}$ refers to the principal or positive root. This will never be equal to the negative expression at the right. Hence, there is $\text{
no solution
.}$