Answer:
[tex]x=-4[/tex] or [tex]x=6[/tex]
Step-by-step explanation:
[tex]x^2 - 2x - 24 = 0[/tex]
Factorizing the equation to find the value of 'x'
[tex]x^2+4x-6x-24=0[/tex]
Taking common from the equation:
[tex]x(x+4)-6(x+4)=0[/tex]
[tex](x+4)(x-6)=0[/tex]
[tex]x+4=0[/tex]
[tex]x=-4[/tex]
or
[tex]x-6=0[/tex]
[tex]x=6[/tex]
The solution for the equation is [tex]x=-4[/tex] or [tex]x=6[/tex]
