-7/(5x+5)+1=-5/(x+3)

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Solution for -7/(5x+5)+1=-5/(x+3) equation: 


D( x )

x+3 = 0

5*x+5 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

5*x+5 = 0

5*x+5 = 0

5*x+5 = 0 // - 5

5*x = -5 // : 5

x = -5/5

x = -1

x in (-oo:-3) U (-3:-1) U (-1:+oo)

1-7/(5*x+5) = -5/(x+3) // + -5/(x+3)

1-7/(5*x+5)-(-5/(x+3)) = 0

5*(x+3)^-1-7/(5*x+5)+1 = 0

5/(x+3)-7/(5*x+5)+1 = 0

(-7*(x+3))/((5*x+5)*(x+3))+(5*(5*x+5))/((5*x+5)*(x+3))+(1*(5*x+5)*(x+3))/((5*x+5)*(x+3)) = 0

5*(5*x+5)-7*(x+3)+1*(5*x+5)*(x+3) = 0

5*x^2+18*x+20*x+4+15 = 0

5*x^2+38*x+19 = 0

5*x^2+38*x+19 = 0

5*x^2+38*x+19 = 0

DELTA = 38^2-(4*5*19)

DELTA = 1064

DELTA > 0

x = (1064^(1/2)-38)/(2*5) or x = (-1064^(1/2)-38)/(2*5)

x = (2*266^(1/2)-38)/10 or x = (-2*266^(1/2)-38)/10

(x-((-2*266^(1/2)-38)/10))*(x-((2*266^(1/2)-38)/10)) = 0

((x-((-2*266^(1/2)-38)/10))*(x-((2*266^(1/2)-38)/10)))/((5*x+5)*(x+3)) = 0

((x-((-2*266^(1/2)-38)/10))*(x-((2*266^(1/2)-38)/10)))/((5*x+5)*(x+3)) = 0 // * (5*x+5)*(x+3)

(x-((-2*266^(1/2)-38)/10))*(x-((2*266^(1/2)-38)/10)) = 0

( x-((-2*266^(1/2)-38)/10) )

x-((-2*266^(1/2)-38)/10) = 0 // + (-2*266^(1/2)-38)/10

x = (-2*266^(1/2)-38)/10

( x-((2*266^(1/2)-38)/10) )

x-((2*266^(1/2)-38)/10) = 0 // + (2*266^(1/2)-38)/10

x = (2*266^(1/2)-38)/10

x in { (-2*266^(1/2)-38)/10, (2*266^(1/2)-38)/10 }

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