Verified Answer :

naǫ

x - the number

\(10x^2=50x \ \ \ \ \ \ \ |\div x, x ot= 0 \\ 10x=50 \ \ \ \ \ \ \ \ \ \ |\div 10 \\ x=5\)

The number is 5.

Let 
x---------> the number

we know that
Ten times the square of a non-zero number is equal to fifty times the number
so
\(10 x^{2} =50x \\ \\ 10 x^{2} -50x=0\)
Factor the leading coefficient 
\(10x( x-5)=0\)
the values of x are
\(x1=0 \\ x2=5\)

remember that  x is 
a non-zero number
therefore
the solution is
\(x=5\)

the answer is
The number is \(5\)