Question

What are the values of x in the equation x(x-6)=4(x+6)?

1. -6, 6
2. -12,2
3. -2, 12
4. -6, 0, 6

Answer 1

`x(x-6)=4(x+6)\\ x^2-6x=4x+24\\ x^2-10x-24=0\\ x^2+2x-12x-24=0\\ x(x+2)-12(x+2)=0\\ (x+2)(x-12)=0\\ x=-2 \vee x=12\\\\ \boxed{3}`