Given that the definition field of function f (x) = √ (m-1) x ^ 2 + 2 (m-1) x + 3 is real number set R, the value range of real number m is obtained

Given that the definition field of function f (x) = √ (m-1) x ^ 2 + 2 (m-1) x + 3 is real number set R, the value range of real number m is obtained

(m-1)x^2+2(m-1)x+3>=0
Solve this quadratic inequality of two variables