(2x+5)/(4x^2)+(2x-5)/(10x)

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Solution for (2x+5)/(4x^2)+(2x-5)/(10x) equation:


D( x )

10*x = 0

4*x^2 = 0

10*x = 0

10*x = 0

10*x = 0 // : 10

x = 0

4*x^2 = 0

4*x^2 = 0

4*x^2 = 0 // : 4

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

(2*x+5)/(4*x^2)+(2*x-5)/(10*x) = 0

(10*x*(2*x+5))/(4*10*x*x^2)+(4*x^2*(2*x-5))/(4*10*x*x^2) = 0

10*x*(2*x+5)+4*x^2*(2*x-5) = 0

8*x^3+50*x = 0

8*x^3+50*x = 0

2*x*(4*x^2+25) = 0

4*x^2 = -25 // : 4

x^2 = -25/4

2*x = 0

(2*x)/(4*10*x*x^2) = 0

(2*x)/(4*10*x*x^2) = 0 // * 4*10*x*x^2

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0}

x belongs to the empty set

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