Question 831088
Given, {{{x - 4 = 45/x}}},
Multiply left and right by x.
{{{x(x-4)=(45/x)x}}}
{{{x^2-4x=45}}}
{{{x^2-4x-45=0}}}
{{{(x+5)(x-9)=0}}}
One or the other of the binomial factors must be zero.
x element of {-5,9}.