Answer:
x=12
Step-by-step explanation:
Firstly we need to set the equation equal to zero
[tex]x^2-24x=-144\\\\x^2-24x+144=0[/tex]
Now we can begin to factor. We are looking for two numbers that add together to give us -24 and multiply to give you 144. x=-12 and x=-12 satisfy this.
This means that the factored form is
[tex](x-12)(x-12)=0\\\\(x-12)^2=0[/tex]
Next we can solve this equation for x.
[tex](x-12)^2=0\\\\x-12=0\\\\x=12[/tex]
