(3/(5x+10))+(2(3x+6))

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Solution for (3/(5x+10))+(2(3x+6)) equation: 


D( x )

5*x+10 = 0

5*x+10 = 0

5*x+10 = 0

5*x+10 = 0 // - 10

5*x = -10 // : 5

x = -10/5

x = -2

x in (-oo:-2) U (-2:+oo)

3/(5*x+10)+2*(3*x+6) = 0

3/(5*x+10)+(2*(3*x+6)*(5*x+10))/(5*x+10) = 0

2*(3*x+6)*(5*x+10)+3 = 0

30*x^2+120*x+123 = 0

30*x^2+120*x+123 = 0

3*(10*x^2+40*x+41) = 0

10*x^2+40*x+41 = 0

DELTA = 40^2-(4*10*41)

DELTA = -40

DELTA < 0

3 = 0

3/(5*x+10) = 0

3/(5*x+10) = 0 // * 5*x+10

3 = 0

x belongs to the empty set

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