(10x^2-25x)/(5x^2-35x)

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Solution for (10x^2-25x)/(5x^2-35x) equation:


D( x )

5*x^2-(35*x) = 0

5*x^2-(35*x) = 0

5*x^2-(35*x) = 0

5*x^2-35*x = 0

5*x^2-35*x = 0

DELTA = (-35)^2-(0*4*5)

DELTA = 1225

DELTA > 0

x = (1225^(1/2)+35)/(2*5) or x = (35-1225^(1/2))/(2*5)

x = 7 or x = 0

x in (-oo:0) U (0:7) U (7:+oo)

(10*x^2-(25*x))/(5*x^2-(35*x)) = 0

(10*x^2-25*x)/(5*x^2-35*x) = 0

10*x^2-25*x = 0

5*x*(2*x-5) = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

5*x*(x-5/2) = 0

5*x^2-35*x = 0

5*x*(x-7) = 0

x-7 = 0 // + 7

x = 7

5*x*(x-7) = 0

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

( 5*x )

5*x = 0 // : 5

x = 0

( x-5/2 )

x-5/2 = 0 // + 5/2

x = 5/2

x in { 0}

x = 5/2

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