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D( x )
x-5 = 0
x = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x = 0
x = 0
x in (-oo:0) U (0:5) U (5:+oo)
3/x-5 = (21/(x-5))*(x+7)-2/x+7 // - (21/(x-5))*(x+7)-2/x+7
3/x-((21/(x-5))*(x+7))-(-2/x)-7-5 = 0
3/x-21*(x+7)*(x-5)^-1+2*x^-1-7-5 = 0
(-21*(x+7))/(x-5)+3/x+2/x-7-5 = 0
(-21*x*(x+7))/(x*(x-5))+(3*(x-5))/(x*(x-5))+(2*(x-5))/(x*(x-5))+(-7*x*(x-5))/(x*(x-5))+(-5*x*(x-5))/(x*(x-5)) = 0
3*(x-5)-21*x*(x+7)+2*(x-5)-7*x*(x-5)-5*x*(x-5) = 0
2*x-21*x^2-7*x^2-5*x^2-144*x+35*x+25*x-15-10 = 0
35*x-21*x^2-7*x^2-5*x^2-142*x+25*x-25 = 0
25*x-28*x^2-5*x^2-107*x-25 = 0
-33*x^2-82*x-25 = 0
-33*x^2-82*x-25 = 0
-1*(33*x^2+82*x+25) = 0
33*x^2+82*x+25 = 0
DELTA = 82^2-(4*25*33)
DELTA = 3424
DELTA > 0
x = (3424^(1/2)-82)/(2*33) or x = (-3424^(1/2)-82)/(2*33)
x = (4*214^(1/2)-82)/66 or x = (-4*214^(1/2)-82)/66
-1*(x-((-4*214^(1/2)-82)/66))*(x-((4*214^(1/2)-82)/66)) = 0
(-1*(x-((-4*214^(1/2)-82)/66))*(x-((4*214^(1/2)-82)/66)))/(x*(x-5)) = 0
(-1*(x-((-4*214^(1/2)-82)/66))*(x-((4*214^(1/2)-82)/66)))/(x*(x-5)) = 0 // * x*(x-5)
-1*(x-((-4*214^(1/2)-82)/66))*(x-((4*214^(1/2)-82)/66)) = 0
( x-((-4*214^(1/2)-82)/66) )
x-((-4*214^(1/2)-82)/66) = 0 // + (-4*214^(1/2)-82)/66
x = (-4*214^(1/2)-82)/66
( x-((4*214^(1/2)-82)/66) )
x-((4*214^(1/2)-82)/66) = 0 // + (4*214^(1/2)-82)/66
x = (4*214^(1/2)-82)/66
x in { (-4*214^(1/2)-82)/66, (4*214^(1/2)-82)/66 }
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