The number of solutions for the equation x2-5|x|+6=0 is

Given equation x2-5|x|+6=0i.e., x2-5x+6=0 and x2+5x+6=0x2-3x-2x+6=0 and x2+3x+2x+6=0 (x-3)(x-2)=0 and (x+3)(x+2)=0 x=3,x=2 and x=-3, x=-2.i.e., Four solutions of this equation.