#### Answer

$x=\dfrac{15}{4}$

#### Work Step by Step

Using the properties of equality, the given equation, $
\sqrt[4]{4x+1}-2=0
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt[4]{4x+1}=2
.\end{array}
Raising both sides of the equation above to the fourth power, then the solution/s is/are
\begin{array}{l}\require{cancel}
4x+1=16
\\\\
4x=16-1
\\\\
4x=15
\\\\
x=\dfrac{15}{4}
.\end{array}
Upon checking, $
x=\dfrac{15}{4}
$ satisfies the original equation.