3/(x+7)+17/(2x)=1/x

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Solution for 3/(x+7)+17/(2x)=1/x equation:


D( x )

x+7 = 0

x = 0

2*x = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x = 0

x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:-7) U (-7:0) U (0:+oo)

3/(x+7)+17/(2*x) = 1/x // - 1/x

3/(x+7)+17/(2*x)-(1/x) = 0

3/(x+7)+17/(2*x)-x^-1 = 0

3/(x+7)+17/(2*x)-1/x = 0

(2*3*x*x)/(2*x*x*(x+7))+(17*x*(x+7))/(2*x*x*(x+7))+(-1*2*x*(x+7))/(2*x*x*(x+7)) = 0

17*x*(x+7)-1*2*x*(x+7)+2*3*x*x = 0

23*x^2-2*x^2+119*x-14*x = 0

21*x^2+105*x = 0

21*x^2+105*x = 0

21*x*(x+5) = 0

x+5 = 0 // - 5

x = -5

21*x*(x+5) = 0

(21*x*(x+5))/(2*x*x*(x+7)) = 0

(21*x*(x+5))/(2*x*x*(x+7)) = 0 // * 2*x*x*(x+7)

21*x*(x+5) = 0

( 21*x )

21*x = 0 // : 21

x = 0

( x+5 )

x+5 = 0 // - 5

x = -5

x in { 0}

x = -5

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