(25x^2-4/25x)/(20x^2-37x-18/40x^2-90x)

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Solution for (25x^2-4/25x)/(20x^2-37x-18/40x^2-90x) equation:


D( x )

20*x^2-((18/40)*x^2)-(37*x)-(90*x) = 0

20*x^2-((18/40)*x^2)-(37*x)-(90*x) = 0

20*x^2-((18/40)*x^2)-(37*x)-(90*x) = 0

20*x^2+(-9/20)*x^2-37*x-90*x = 0

391/20*x^2-127*x = 0

DELTA = (-127)^2-(0*4*391/20)

DELTA = 16129

DELTA > 0

x = (16129^(1/2)+127)/(2*391/20) or x = (127-16129^(1/2))/(2*391/20)

x = 2540/391 or x = 0

x in (-oo:0) U (0:2540/391) U (2540/391:+oo)

(25*x^2-((4/25)*x))/(20*x^2-((18/40)*x^2)-(37*x)-(90*x)) = 0

(25*x^2+(-4/25)*x)/(20*x^2+(-9/20)*x^2-37*x-90*x) = 0

(25*x^2-4/25*x)/(391/20*x^2-127*x) = 0

25*x^2-4/25*x = 0

x*(25*x-4/25) = 0

25*x-4/25 = 0 // + 4/25

25*x = 4/25 // : 25

x = 4/25/25

x = 4/625

x*(x-4/625) = 0

391/20*x^2-127*x = 0

x*(391/20*x-127) = 0

391/20*x-127 = 0 // + 127

391/20*x = 127 // : 391/20

x = 127/391/20

x = 2540/391

x*(x-2540/391) = 0

(x*(x-4/625))/(x*(x-2540/391)) = 0

( x-4/625 )

x-4/625 = 0 // + 4/625

x = 4/625

( x )

x = 0

x in { 0}

x = 4/625

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