(4q+5)/(5q^2+4q-105)-(3q+1)/(2q^2+9q-5)

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Solution for (4q+5)/(5q^2+4q-105)-(3q+1)/(2q^2+9q-5) equation: 


D( q )

5*q^2+4*q-105 = 0

2*q^2+9*q-5 = 0

5*q^2+4*q-105 = 0

5*q^2+4*q-105 = 0

5*q^2+4*q-105 = 0

DELTA = 4^2-(-105*4*5)

DELTA = 2116

DELTA > 0

q = (2116^(1/2)-4)/(2*5) or q = (-2116^(1/2)-4)/(2*5)

q = 21/5 or q = -5

2*q^2+9*q-5 = 0

2*q^2+9*q-5 = 0

2*q^2+9*q-5 = 0

DELTA = 9^2-(-5*2*4)

DELTA = 121

DELTA > 0

q = (121^(1/2)-9)/(2*2) or q = (-121^(1/2)-9)/(2*2)

q = 1/2 or q = -5

q in (-oo:-5) U (-5:1/2) U (1/2:21/5) U (21/5:+oo)

(4*q+5)/(5*q^2+4*q-105)-((3*q+1)/(2*q^2+9*q-5)) = 0

(4*q+5)/(5*q^2+4*q-105)+(-1*(3*q+1))/(2*q^2+9*q-5) = 0

5*q^2+4*q-105 = 0

5*q^2+4*q-105 = 0

5*q^2+4*q-105 = 0

DELTA = 4^2-(-105*4*5)

DELTA = 2116

DELTA > 0

q = (2116^(1/2)-4)/(2*5) or q = (-2116^(1/2)-4)/(2*5)

q = 21/5 or q = -5

(q+5)*(q-21/5) = 0

2*q^2+9*q-5 = 0

2*q^2+9*q-5 = 0

2*q^2+9*q-5 = 0

DELTA = 9^2-(-5*2*4)

DELTA = 121

DELTA > 0

q = (121^(1/2)-9)/(2*2) or q = (-121^(1/2)-9)/(2*2)

q = 1/2 or q = -5

(q+5)*(q-1/2) = 0

(4*q+5)/((q+5)*(q-21/5))+(-1*(3*q+1))/((q+5)*(q-1/2)) = 0

(4*q+5)/((q+5)*(q-21/5))+(-1*(3*q+1)*(q-21/5))/((q+5)*(q-21/5)) = 0

4*q-1*(3*q+1)*(q-21/5)+5 = 0

78/5*q-3*q^2+46/5 = 0

78/5*q-3*q^2+46/5 = 0

78/5*q-3*q^2+46/5 = 0

DELTA = (78/5)^2-(-3*4*46/5)

DELTA = 8844/25

DELTA > 0

q = ((8844/25)^(1/2)-78/5)/(-3*2) or q = (-(8844/25)^(1/2)-78/5)/(-3*2)

q = ((8844/25)^(1/2)-78/5)/(-6) or q = ((8844/25)^(1/2)+78/5)/6

(q-(((8844/25)^(1/2)-78/5)/(-6)))*(q-(((8844/25)^(1/2)+78/5)/6)) = 0

((q-(((8844/25)^(1/2)-78/5)/(-6)))*(q-(((8844/25)^(1/2)+78/5)/6)))/((q+5)*(q-21/5)) = 0

((q-(((8844/25)^(1/2)-78/5)/(-6)))*(q-(((8844/25)^(1/2)+78/5)/6)))/((q+5)*(q-21/5)) = 0 // * (q+5)*(q-21/5)

(q-(((8844/25)^(1/2)-78/5)/(-6)))*(q-(((8844/25)^(1/2)+78/5)/6)) = 0

( q-(((8844/25)^(1/2)+78/5)/6) )

q-(((8844/25)^(1/2)+78/5)/6) = 0 // + ((8844/25)^(1/2)+78/5)/6

q = ((8844/25)^(1/2)+78/5)/6

( q-(((8844/25)^(1/2)-78/5)/(-6)) )

q-(((8844/25)^(1/2)-78/5)/(-6)) = 0 // + ((8844/25)^(1/2)-78/5)/(-6)

q = ((8844/25)^(1/2)-78/5)/(-6)

q in { ((8844/25)^(1/2)+78/5)/6, ((8844/25)^(1/2)-78/5)/(-6) }

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