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

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


D( x )

3*x+7 = 0

3*x+7 = 0

3*x+7 = 0

3*x+7 = 0 // - 7

3*x = -7 // : 3

x = -7/3

x in (-oo:-7/3) U (-7/3:+oo)

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

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

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

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

5-3*x^2-7*x-3*x-7 = 0

-3*x^2-10*x-2 = 0

-3*x^2-10*x-2 = 0

-1*(3*x^2+10*x+2) = 0

3*x^2+10*x+2 = 0

DELTA = 10^2-(2*3*4)

DELTA = 76

DELTA > 0

x = (76^(1/2)-10)/(2*3) or x = (-76^(1/2)-10)/(2*3)

x = (2*19^(1/2)-10)/6 or x = (-2*19^(1/2)-10)/6

-1*(x-((-2*19^(1/2)-10)/6))*(x-((2*19^(1/2)-10)/6)) = 0

(-1*(x-((-2*19^(1/2)-10)/6))*(x-((2*19^(1/2)-10)/6)))/(3*x+7) = 0

(-1*(x-((-2*19^(1/2)-10)/6))*(x-((2*19^(1/2)-10)/6)))/(3*x+7) = 0 // * 3*x+7

-1*(x-((-2*19^(1/2)-10)/6))*(x-((2*19^(1/2)-10)/6)) = 0

( x-((-2*19^(1/2)-10)/6) )

x-((-2*19^(1/2)-10)/6) = 0 // + (-2*19^(1/2)-10)/6

x = (-2*19^(1/2)-10)/6

( x-((2*19^(1/2)-10)/6) )

x-((2*19^(1/2)-10)/6) = 0 // + (2*19^(1/2)-10)/6

x = (2*19^(1/2)-10)/6

x in { (-2*19^(1/2)-10)/6, (2*19^(1/2)-10)/6 }

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