(1/(x+1))+(4/(x+7))=1

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Solution for (1/(x+1))+(4/(x+7))=1 equation: 


D( x )

x+7 = 0

x+1 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-7) U (-7:-1) U (-1:+oo)

1/(x+1)+4/(x+7) = 1 // - 1

1/(x+1)+4/(x+7)-1 = 0

(1*(x+7))/((x+1)*(x+7))+(4*(x+1))/((x+1)*(x+7))+(-1*(x+1)*(x+7))/((x+1)*(x+7)) = 0

1*(x+7)+4*(x+1)-1*(x+1)*(x+7) = 0

5*x-x^2-8*x-7+11 = 0

4-x^2-3*x = 0

4-x^2-3*x = 0

4-x^2-3*x = 0

DELTA = (-3)^2-(-1*4*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+3)/(-1*2) or x = (3-25^(1/2))/(-1*2)

x = -4 or x = 1

(x+4)*(x-1) = 0

((x+4)*(x-1))/((x+1)*(x+7)) = 0

((x+4)*(x-1))/((x+1)*(x+7)) = 0 // * (x+1)*(x+7)

(x+4)*(x-1) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -4, 1 }

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