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D( x )
(x+5)^2 = 0
(x+5)^2 = 0
(x+5)^2 = 0
x+5 = 0 // - 5
x = -5
x in (-oo:-5) U (-5:+oo)
250 = 6250/((x+5)^2) // - 6250/((x+5)^2)
250-(6250/((x+5)^2)) = 0
250-6250*(x+5)^-2 = 0
250-6250/((x+5)^2) = 0
(250*(x+5)^2)/((x+5)^2)-6250/((x+5)^2) = 0
250*(x+5)^2-6250 = 0
250*x^2+2500*x = 0
250*x^2+2500*x = 0
250*x*(x+10) = 0
x+10 = 0 // - 10
x = -10
250*x*(x+10) = 0
(250*x*(x+10))/((x+5)^2) = 0
(250*x*(x+10))/((x+5)^2) = 0 // * (x+5)^2
250*x*(x+10) = 0
( 250*x )
250*x = 0 // : 250
x = 0
( x+10 )
x+10 = 0 // - 10
x = -10
x in { 0, -10 }
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