Answer
$x=5$
Work Step by Step
The factored form of the given equation, $
x^2-10x+25=0
,$ is
\begin{align*}
(x-5)(x-5)&=0
\\
(x-5)^2&=0
.\end{align*}
Taking the square root of both sides (Square Root Property) and then solving for the variable, the equation above is equivalent to
\begin{align*}
x-5&=\sqrt{0}
\\
x-5&=0
\\
x&=5
.\end{align*}
Hence, the solution is $
x=5
.$
