(1/(4x))-(2/x)=-7/(x+9)

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Solution for (1/(4x))-(2/x)=-7/(x+9) equation:


D( x )

x = 0

4*x = 0

x+9 = 0

x = 0

x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

x in (-oo:-9) U (-9:0) U (0:+oo)

1/(4*x)-(2/x) = -7/(x+9) // + -7/(x+9)

1/(4*x)-(-7/(x+9))-(2/x) = 0

7*(x+9)^-1+1/(4*x)-2*x^-1 = 0

7/(x+9)+1/(4*x)-2/x = 0

(4*7*x*x)/(4*x*x*(x+9))+(1*x*(x+9))/(4*x*x*(x+9))+(-2*4*x*(x+9))/(4*x*x*(x+9)) = 0

1*x*(x+9)-2*4*x*(x+9)+4*7*x*x = 0

29*x^2-8*x^2+9*x-72*x = 0

21*x^2-63*x = 0

21*x^2-63*x = 0

21*x*(x-3) = 0

x-3 = 0 // + 3

x = 3

21*x*(x-3) = 0

(21*x*(x-3))/(4*x*x*(x+9)) = 0

(21*x*(x-3))/(4*x*x*(x+9)) = 0 // * 4*x*x*(x+9)

21*x*(x-3) = 0

( 21*x )

21*x = 0 // : 21

x = 0

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 0}

x = 3

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