Solve the values of x by factoring (30 points !!)

Answer:
x=8,x=-3 is the answer.
Step-by-step explanation:
solution;
here,
[tex]x^{2}-5x-24=0\\x^{2} -8x+3x-24=0\\x(x-8)+3(x-8)=0\\(x+3)(x-8)=0\\[/tex]
[tex]x+3=0.....I\\x-8=0......II\\[/tex]
Solving equation I
x+3=0
x=-3
Solving equation II
x-8=0
x=8