Twice The Square Of A Number Equals 48 More Than 4 Times The Number. Can You Help?

Let the number is x. Then according to given condition;

2x²=48 + 4x

2x²- 48 - 4x=0

2x²- 4x - 48 =0

The equation is quadratic in x so there are two roots of x.

diving equation by 2, we get

x2 - 2x - 24=0

x2 -6x +4x -24= 0

x (x- 6) + 4(x- 6)=0

(x+4)(x-6)=0

x+4=0; x-6=0

x=6,-4