7/(9x+9)=(7/(x+1))-(7/9)

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Solution for 7/(9x+9)=(7/(x+1))-(7/9) equation:


D( x )

x+1 = 0

9*x+9 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

9*x+9 = 0

9*x+9 = 0

9*x+9 = 0 // - 9

9*x = -9 // : 9

x = -9/9

x = -1

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

7/(9*x+9) = 7/(x+1)-(7/9) // - 7/(x+1)-(7/9)

7/(9*x+9)-(7/(x+1))+7/9 = 0

7/(9*x+9)-7*(x+1)^-1+7/9 = 0

7/(9*x+9)-7/(x+1)+7/9 = 0

(7*9*(x+1))/(9*(9*x+9)*(x+1))+(-7*9*(9*x+9))/(9*(9*x+9)*(x+1))+(7*(9*x+9)*(x+1))/(9*(9*x+9)*(x+1)) = 0

7*9*(x+1)-7*9*(9*x+9)+7*(9*x+9)*(x+1) = 0

63*x^2-504*x+126*x-504+63 = 0

63*x^2-378*x-441 = 0

63*x^2-378*x-441 = 0

63*(x^2-6*x-7) = 0

x^2-6*x-7 = 0

DELTA = (-6)^2-(-7*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+6)/(1*2) or x = (6-64^(1/2))/(1*2)

x = 7 or x = -1

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

(63*(x+1)*(x-7))/(9*(9*x+9)*(x+1)) = 0

(63*(x+1)*(x-7))/(9*(9*x+9)*(x+1)) = 0 // * 9*(9*x+9)*(x+1)

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

( x+1 )

x+1 = 0 // - 1

x = -1

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -1}

x = 7

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