(x^2-7x)/(x^2+5x)

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Solution for (x^2-7x)/(x^2+5x) equation: 


D( x )

x^2+5*x = 0

x^2+5*x = 0

x^2+5*x = 0

x^2+5*x = 0

DELTA = 5^2-(0*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-5)/(1*2) or x = (-25^(1/2)-5)/(1*2)

x = 0 or x = -5

x in (-oo:-5) U (-5:0) U (0:+oo)

(x^2-(7*x))/(x^2+5*x) = 0

(x^2-7*x)/(x^2+5*x) = 0

x^2-7*x = 0

x*(x-7) = 0

x-7 = 0 // + 7

x = 7

x*(x-7) = 0

x^2+5*x = 0

x*(x+5) = 0

x+5 = 0 // - 5

x = -5

x*(x+5) = 0

(x*(x-7))/(x*(x+5)) = 0

( x-7 )

x-7 = 0 // + 7

x = 7

( x )

x = 0

x in { 0} 

x = 7

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