Answer :
x - the number
[tex]x^2=x+12 \\ x^2-x-12=0 \\ x^2+3x-4x-12=0 \\ x(x+3)-4(x+3)=0 \\ (x-4)(x+3)=0 \\ x-4=0 \ \lor \ x+3=0 \\ x=4 \ \lor \ x=-3[/tex]
The two possible solutions are -3 or 4.
[tex]x^2=x+12 \\ x^2-x-12=0 \\ x^2+3x-4x-12=0 \\ x(x+3)-4(x+3)=0 \\ (x-4)(x+3)=0 \\ x-4=0 \ \lor \ x+3=0 \\ x=4 \ \lor \ x=-3[/tex]
The two possible solutions are -3 or 4.