7/(3x+3)=7/(x+1)-2/3

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Solution for 7/(3x+3)=7/(x+1)-2/3 equation:


D( x )

3*x+3 = 0

x+1 = 0

3*x+3 = 0

3*x+3 = 0

3*x+3 = 0 // - 3

3*x = -3 // : 3

x = -3/3

x = -1

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

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

7/(3*x+3) = 7/(x+1)-(2/3) // - 7/(x+1)-(2/3)

7/(3*x+3)-(7/(x+1))+2/3 = 0

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

7/(3*x+3)-7/(x+1)+2/3 = 0

(3*7*(x+1))/(3*(3*x+3)*(x+1))+(-7*3*(3*x+3))/(3*(3*x+3)*(x+1))+(2*(3*x+3)*(x+1))/(3*(3*x+3)*(x+1)) = 0

3*7*(x+1)-7*3*(3*x+3)+2*(3*x+3)*(x+1) = 0

6*x^2-42*x+12*x-42+6 = 0

6*x^2-30*x-36 = 0

6*x^2-30*x-36 = 0

6*(x^2-5*x-6) = 0

x^2-5*x-6 = 0

DELTA = (-5)^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(1*2) or x = (5-49^(1/2))/(1*2)

x = 6 or x = -1

6*(x+1)*(x-6) = 0

(6*(x+1)*(x-6))/(3*(3*x+3)*(x+1)) = 0

(6*(x+1)*(x-6))/(3*(3*x+3)*(x+1)) = 0 // * 3*(3*x+3)*(x+1)

6*(x+1)*(x-6) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -1}

x = 6

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