(-2)/(x+7)-(3)/(x+9)=-3

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Solution for (-2)/(x+7)-(3)/(x+9)=-3 equation: 


D( x )

x+7 = 0

x+9 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

x in (-oo:-9) U (-9:-7) U (-7:+oo)

-2/(x+7)-(3/(x+9)) = -3 // + 3

3-2/(x+7)-(3/(x+9)) = 0

3-2/(x+7)-3*(x+9)^-1 = 0

3-2/(x+7)-3/(x+9) = 0

(-2*(x+9))/((x+7)*(x+9))+(-3*(x+7))/((x+7)*(x+9))+(3*(x+7)*(x+9))/((x+7)*(x+9)) = 0

3*(x+7)*(x+9)-2*(x+9)-3*(x+7) = 0

3*x^2-5*x+48*x-39+189 = 0

3*x^2+43*x+150 = 0

3*x^2+43*x+150 = 0

3*x^2+43*x+150 = 0

DELTA = 43^2-(3*4*150)

DELTA = 49

DELTA > 0

x = (49^(1/2)-43)/(2*3) or x = (-49^(1/2)-43)/(2*3)

x = -6 or x = -25/3

(x+25/3)*(x+6) = 0

((x+25/3)*(x+6))/((x+7)*(x+9)) = 0

((x+25/3)*(x+6))/((x+7)*(x+9)) = 0 // * (x+7)*(x+9)

(x+25/3)*(x+6) = 0

( x+25/3 )

x+25/3 = 0 // - 25/3

x = -25/3

( x+6 )

x+6 = 0 // - 6

x = -6

x in { -25/3, -6 }

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