Question 422177


{{{x^2 -2x=24}}}


{{{x^2 -2x -24=0}}}

{{{x^2 -2x -24=0}}}.....replace {{{-2x}}} with {{{4x-6x}}}


{{{x^2 +4x-6x -24=0}}}......group the first two terms together and the last two terms together like this:

{{{(x^2 +4x)+(-6x -24)=0}}}....factor a x out of the first group and factor a -6 out of the second group.


{{{x(x +4)-6(x +4)=0}}}....we have a common term (x +4) we can combine the two terms

{{{(x-6)(x +4)=0}}}....now, a product is equal to zero if one or both multiplicands are equal to zero

{{{x-6=0}}}....->...{{{x=6}}}

or

{{{x+4=0}}}....->...{{{x=-4}}}