5q^2/(10q+15q^2)

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Solution for 5q^2/(10q+15q^2) equation: 


D( q )

15*q^2+10*q = 0

15*q^2+10*q = 0

15*q^2+10*q = 0

15*q^2+10*q = 0

DELTA = 10^2-(0*4*15)

DELTA = 100

DELTA > 0

q = (100^(1/2)-10)/(2*15) or q = (-100^(1/2)-10)/(2*15)

q = 0 or q = -2/3

q in (-oo:-2/3) U (-2/3:0) U (0:+oo)

(5*q^2)/(15*q^2+10*q) = 0

15*q^2+10*q = 0

5*q*(3*q+2) = 0

3*q+2 = 0 // - 2

3*q = -2 // : 3

q = -2/3

5*q*(q+2/3) = 0

(5*q^2)/(5*q*(q+2/3)) = 0

5*q^2 = 0 // : 5

q^2 = 0

q = 0

q in { 0} 

q belongs to the empty set

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