The number of real solutions of |x|+25−4x−x2=16 is/are

We have25−4x−x2=16−|x|⇒45−4x−x2=256−32|x|+x2⇒5x2−32|x|+16x+236=0⇒5x2−16x+236=0, when x≥0 and 5x2+48x+236=0, when x<0In both cases, equation has non-real roots.