(10x+8x^2)/(5+8x)^2

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Solution for (10x+8x^2)/(5+8x)^2 equation:


D( x )

(8*x+5)^2 = 0

(8*x+5)^2 = 0

(8*x+5)^2 = 0

8*x+5 = 0 // - 5

8*x = -5 // : 8

x = -5/8

x in (-oo:-5/8) U (-5/8:+oo)

(8*x^2+10*x)/((8*x+5)^2) = 0

8*x^2+10*x = 0

2*x*(4*x+5) = 0

4*x+5 = 0 // - 5

4*x = -5 // : 4

x = -5/4

2*x*(x+5/4) = 0

(2*x*(x+5/4))/((8*x+5)^2) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x+5/4 )

x+5/4 = 0 // - 5/4

x = -5/4

x in { 0, -5/4 }

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