(4m/(3m^2+7m-6))-(m/(3m^2-14m+18))

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Solution for (4m/(3m^2+7m-6))-(m/(3m^2-14m+18)) equation: 


D( m )

3*m^2-(14*m)+18 = 0

3*m^2+7*m-6 = 0

3*m^2-(14*m)+18 = 0

3*m^2-(14*m)+18 = 0

3*m^2-14*m+18 = 0

3*m^2-14*m+18 = 0

DELTA = (-14)^2-(3*4*18)

DELTA = -20

DELTA < 0

3*m^2+7*m-6 = 0

3*m^2+7*m-6 = 0

3*m^2+7*m-6 = 0

DELTA = 7^2-(-6*3*4)

DELTA = 121

DELTA > 0

m = (121^(1/2)-7)/(2*3) or m = (-121^(1/2)-7)/(2*3)

m = 2/3 or m = -3

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

(4*m)/(3*m^2+7*m-6)-(m/(3*m^2-(14*m)+18)) = 0

(4*m)/(3*m^2+7*m-6)-(m/(3*m^2-14*m+18)) = 0

(4*m)/(3*m^2+7*m-6)+(-1*m)/(3*m^2-14*m+18) = 0

3*m^2+7*m-6 = 0

3*m^2+7*m-6 = 0

3*m^2+7*m-6 = 0

DELTA = 7^2-(-6*3*4)

DELTA = 121

DELTA > 0

m = (121^(1/2)-7)/(2*3) or m = (-121^(1/2)-7)/(2*3)

m = 2/3 or m = -3

(m+3)*(m-2/3) = 0

3*m^2-14*m+18 = 0

3*m^2-14*m+18 = 0

3*m^2-14*m+18 = 0

DELTA = (-14)^2-(3*4*18)

DELTA = -20

DELTA < 0

1 = 0

(4*m)/((m+3)*(m-2/3))-1*m = 0

(4*m)/((m+3)*(m-2/3))+(-1*m*(m+3)*(m-2/3))/((m+3)*(m-2/3)) = 0

4*m-1*m*(m+3)*(m-2/3) = 0

6*m-m^3-7/3*m^2 = 0

6*m-m^3-7/3*m^2 = 0

m*(6-m^2-7/3*m) = 0

6-m^2-7/3*m = 0

DELTA = (-7/3)^2-(-1*4*6)

DELTA = 265/9

DELTA > 0

m = ((265/9)^(1/2)+7/3)/(-1*2) or m = (7/3-(265/9)^(1/2))/(-1*2)

m = ((265/9)^(1/2)+7/3)/(-2) or m = (7/3-(265/9)^(1/2))/(-2)

m*(m-(((265/9)^(1/2)+7/3)/(-2)))*(m-((7/3-(265/9)^(1/2))/(-2))) = 0

(m*(m-(((265/9)^(1/2)+7/3)/(-2)))*(m-((7/3-(265/9)^(1/2))/(-2))))/((m+3)*(m-2/3)) = 0

(m*(m-(((265/9)^(1/2)+7/3)/(-2)))*(m-((7/3-(265/9)^(1/2))/(-2))))/((m+3)*(m-2/3)) = 0 // * (m+3)*(m-2/3)

m*(m-(((265/9)^(1/2)+7/3)/(-2)))*(m-((7/3-(265/9)^(1/2))/(-2))) = 0

( m-(((265/9)^(1/2)+7/3)/(-2)) )

m-(((265/9)^(1/2)+7/3)/(-2)) = 0 // + ((265/9)^(1/2)+7/3)/(-2)

m = ((265/9)^(1/2)+7/3)/(-2)

( m-((7/3-(265/9)^(1/2))/(-2)) )

m-((7/3-(265/9)^(1/2))/(-2)) = 0 // + (7/3-(265/9)^(1/2))/(-2)

m = (7/3-(265/9)^(1/2))/(-2)

( m )

m = 0

m in { ((265/9)^(1/2)+7/3)/(-2), (7/3-(265/9)^(1/2))/(-2), 0 }

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