(2/(c^2-2c))+(1/(2-c))=1

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Solution for (2/(c^2-2c))+(1/(2-c))=1 equation: 


D( c )

c^2-(2*c) = 0

2-c = 0

c^2-(2*c) = 0

c^2-(2*c) = 0

c^2-2*c = 0

c^2-2*c = 0

DELTA = (-2)^2-(0*1*4)

DELTA = 4

DELTA > 0

c = (4^(1/2)+2)/(1*2) or c = (2-4^(1/2))/(1*2)

c = 2 or c = 0

2-c = 0

2-c = 0

2-c = 0 // - 2

-c = -2 // * -1

c = 2

c in (-oo:0) U (0:2) U (2:+oo)

2/(c^2-(2*c))+1/(2-c) = 1 // - 1

2/(c^2-(2*c))+1/(2-c)-1 = 0

2/(c^2-2*c)+1/(2-c)-1 = 0

c^2-2*c = 0

c^2-2*c = 0

c*(c-2) = 0

c-2 = 0 // + 2

c = 2

c*(c-2) = 0

2/(c*(c-2))+1/(2-c)-1 = 0

(2*(2-c))/(c*(c-2)*(2-c))+(1*c*(c-2))/(c*(c-2)*(2-c))+(-1*c*(c-2)*(2-c))/(c*(c-2)*(2-c)) = 0

2*(2-c)+1*c*(c-2)-1*c*(c-2)*(2-c) = 0

c^3+c^2-4*c^2-4*c+4*c+4 = 0

c^3-3*c^2+4 = 0

c^3-3*c^2+4 = 0

c^3-3*c^2+4 = 0

{ 1, -1, 2, -2, 4, -4 }

1

c = 1

c^3-3*c^2+4 = 2

1

-1

c = -1

c^3-3*c^2+4 = 0

-1

c+1

c^2-4*c+4

c^3-3*c^2+4

c+1

-c^3-c^2

4-4*c^2

4*c^2+4*c

4*c+4

-4*c-4

0

c^2-4*c+4 = 0

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

DELTA = 0

c = 4/(1*2)

c = 2 or c = 2

c in { 2, 2, -1} 

(c-2)^2*(c+1) = 0

((c-2)^2*(c+1))/(c*(c-2)*(2-c)) = 0

((c-2)^2*(c+1))/(c*(c-2)*(2-c)) = 0 // * c*(c-2)*(2-c)

(c-2)^2*(c+1) = 0

( c+1 )

c+1 = 0 // - 1

c = -1

( c-2 )

c-2 = 0 // + 2

c = 2

c in { 2} 

c = -1

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