8/(2m+3)+2/(3m+6)=7/9

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Solution for 8/(2m+3)+2/(3m+6)=7/9 equation: 


D( m )

3*m+6 = 0

2*m+3 = 0

3*m+6 = 0

3*m+6 = 0

3*m+6 = 0 // - 6

3*m = -6 // : 3

m = -6/3

m = -2

2*m+3 = 0

2*m+3 = 0

2*m+3 = 0 // - 3

2*m = -3 // : 2

m = -3/2

m in (-oo:-2) U (-2:-3/2) U (-3/2:+oo)

8/(2*m+3)+2/(3*m+6) = 7/9 // - 7/9

8/(2*m+3)+2/(3*m+6)-(7/9) = 0

8/(2*m+3)+2/(3*m+6)-7/9 = 0

(8*9*(3*m+6))/(9*(2*m+3)*(3*m+6))+(2*9*(2*m+3))/(9*(2*m+3)*(3*m+6))+(-7*(2*m+3)*(3*m+6))/(9*(2*m+3)*(3*m+6)) = 0

8*9*(3*m+6)+2*9*(2*m+3)-7*(2*m+3)*(3*m+6) = 0

252*m-42*m^2-147*m-126+486 = 0

105*m-42*m^2+360 = 0

105*m-42*m^2+360 = 0

3*(35*m-14*m^2+120) = 0

35*m-14*m^2+120 = 0

DELTA = 35^2-(-14*4*120)

DELTA = 7945

DELTA > 0

m = (7945^(1/2)-35)/(-14*2) or m = (-7945^(1/2)-35)/(-14*2)

m = (7945^(1/2)-35)/(-28) or m = (7945^(1/2)+35)/28

3*(m-((7945^(1/2)-35)/(-28)))*(m-((7945^(1/2)+35)/28)) = 0

(3*(m-((7945^(1/2)-35)/(-28)))*(m-((7945^(1/2)+35)/28)))/(9*(2*m+3)*(3*m+6)) = 0

(3*(m-((7945^(1/2)-35)/(-28)))*(m-((7945^(1/2)+35)/28)))/(9*(2*m+3)*(3*m+6)) = 0 // * 9*(2*m+3)*(3*m+6)

3*(m-((7945^(1/2)-35)/(-28)))*(m-((7945^(1/2)+35)/28)) = 0

( m-((7945^(1/2)+35)/28) )

m-((7945^(1/2)+35)/28) = 0 // + (7945^(1/2)+35)/28

m = (7945^(1/2)+35)/28

( m-((7945^(1/2)-35)/(-28)) )

m-((7945^(1/2)-35)/(-28)) = 0 // + (7945^(1/2)-35)/(-28)

m = (7945^(1/2)-35)/(-28)

m in { (7945^(1/2)+35)/28, (7945^(1/2)-35)/(-28) }

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