Question 404795
{{{4/(c-2)-1/(2-c)=25/(c+6)}}}

{{{4/(c-2)+1/(c-2)=25/(c+6)}}}

{{{4/(c-2)+1/(c-2)-25/(c+6)=0}}}

LCD = (c-2)(c+6)

multiply by (c-2)(c+6)

{{{4(cross(c-2))(c+6)/(cross(c-2))+1(cross(c-2))(c+6)/(cross(c-2))-25(c-2)(cross(c+6))/(cross(c+6))=0}}}

{{{4c+24+c+6-25c+50=0}}}

-20c=-80

/-20
c=4