Question 1112603
{{{((n^2-5n)/(n^2+8n+16)) - (6/(n + 4))}}}





{{{((n(n-5))/((n+4)^2)) - (6/(n + 4))}}}

LCD (n+4)^2

{{{((n(n-5)) - (6*(n + 4)))/(n+4)^2}}}

{{{(n^2-5n -6n -24)/(n+4)^2}}}


{{{(n^2 -11n -24)/(n+4)^2}}}

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{{{(x/(x+1)) + (9x/(x^2+3x+2)) = (12/(x+2))}}}


{{{(x/(x+1)) + (9x/((x+2)(x+1))) = (12/(x+2))}}}

For x=-1 or x=-2 not defined

Multiply the equation by (x+1)(x+2)

weget

x(x+2) +9x = 12(x+1)

{{{x^2+2x+9x=12x+12}}}

{{{x^2+11x=12x+12}}}


{{{x^2-x-12=0}}}

(x-4)(x+3)=0

x=4 or -3

Plug x=4

(4/(4+1)) + (9*4/((4+2)(4+1))) = 2

12/(x+2) -> 12/(4+2)=2

You plug -3 and try