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D( x )
(25*x^2-49)*(x^2+8*x+7) = 0
(25*x^2-49)*(x^2+8*x+7) = 0
(25*x^2-49)*(x^2+8*x+7) = 0
x^2+8*x+7 = 0
x^2+8*x+7 = 0
DELTA = 8^2-(1*4*7)
DELTA = 36
DELTA > 0
x = (36^(1/2)-8)/(1*2) or x = (-36^(1/2)-8)/(1*2)
x = -1 or x = -7
(x+7)*(x+1) = 0
(25*x^2-49)*(x+7)*(x+1) = 0
( 25*x^2-49 )
25*x^2 = 49 // : 25
x^2 = 49/25
x^2 = 49/25 // ^ 1/2
abs(x) = 7/5
x = 7/5 or x = -7/5
( x+1 )
x+1 = 0 // - 1
x = -1
( x+7 )
x+7 = 0 // - 7
x = -7
x in (-oo:-7) U (-7:-7/5) U (-7/5:-1) U (-1:7/5) U (7/5:+oo)
((x+7)*(5*x^2+33*x-56))/((25*x^2-49)*(x^2+8*x+7)) = 0
5*x^2+33*x-56 = 0
5*x^2+33*x-56 = 0
DELTA = 33^2-(-56*4*5)
DELTA = 2209
DELTA > 0
x = (2209^(1/2)-33)/(2*5) or x = (-2209^(1/2)-33)/(2*5)
x = 7/5 or x = -8
(x+8)*(x-7/5) = 0
x^2+8*x+7 = 0
x^2+8*x+7 = 0
DELTA = 8^2-(1*4*7)
DELTA = 36
DELTA > 0
x = (36^(1/2)-8)/(1*2) or x = (-36^(1/2)-8)/(1*2)
x = -1 or x = -7
(x+7)*(x+1) = 0
((x+7)*(x+8)*(x-7/5))/((25*x^2-49)*(x+7)*(x+1)) = 0
( x+7 )
x+7 = 0 // - 7
x = -7
( x+8 )
x+8 = 0 // - 8
x = -8
( x-7/5 )
x-7/5 = 0 // + 7/5
x = 7/5
x in { -7}
x in { 7/5}
x = -8
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