(2x^2-20x+50)/(x^2-25)(x^2-2x-15)

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Solution for (2x^2-20x+50)/(x^2-25)(x^2-2x-15) equation: 


D( x )

x^2-25 = 0

x^2-25 = 0

x^2-25 = 0

1*x^2 = 25 // : 1

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

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

((2*x^2-(20*x)+50)/(x^2-25))*(x^2-(2*x)-15) = 0

((2*x^2-20*x+50)/(x^2-25))*(x^2-2*x-15) = 0

((2*x^2-20*x+50)*(x^2-2*x-15))/(x^2-25) = 0

2*x^2-20*x+50 = 0

2*(x^2-10*x+25) = 0

x^2-10*x+25 = 0

DELTA = (-10)^2-(1*4*25)

DELTA = 0

x = 10/(1*2)

x = 5 or x = 5

2*(x-5)^2 = 0

x^2-2*x-15 = 0

x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)

x = 5 or x = -3

(x+3)*(x-5) = 0

(2*(x-5)^3*(x+3))/(x^2-25) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 5} 

x = -3

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