Respuesta :

naǫ
x - the number

[tex]10x^2=50x \ \ \ \ \ \ \ |\div x, x \not= 0 \\ 10x=50 \ \ \ \ \ \ \ \ \ \ |\div 10 \\ x=5[/tex]

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
[tex]10 x^{2} =50x \\ \\ 10 x^{2} -50x=0[/tex]
Factor the leading coefficient 
[tex]10x( x-5)=0[/tex]
the values of x are
[tex]x1=0 \\ x2=5[/tex]

remember that  x is 
a non-zero number
therefore
the solution is
[tex]x=5[/tex]

the answer is
The number is [tex]5[/tex]