x/(5x+6)-(2x)/(5x-4)

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Solution for x/(5x+6)-(2x)/(5x-4) equation:


D( x )

5*x+6 = 0

5*x-4 = 0

5*x+6 = 0

5*x+6 = 0

5*x+6 = 0 // - 6

5*x = -6 // : 5

x = -6/5

5*x-4 = 0

5*x-4 = 0

5*x-4 = 0 // + 4

5*x = 4 // : 5

x = 4/5

x in (-oo:-6/5) U (-6/5:4/5) U (4/5:+oo)

x/(5*x+6)-((2*x)/(5*x-4)) = 0

x/(5*x+6)-2*x*(5*x-4)^-1 = 0

x/(5*x+6)+(-2*x)/(5*x-4) = 0

(x*(5*x-4))/((5*x+6)*(5*x-4))+(-2*x*(5*x+6))/((5*x+6)*(5*x-4)) = 0

x*(5*x-4)-2*x*(5*x+6) = 0

-5*x^2-16*x = 0

-5*x^2-16*x = 0

-x*(5*x+16) = 0

5*x+16 = 0 // - 16

5*x = -16 // : 5

x = -16/5

-x*(x+16/5) = 0

(-x*(x+16/5))/((5*x+6)*(5*x-4)) = 0

(-x*(x+16/5))/((5*x+6)*(5*x-4)) = 0 // * (5*x+6)*(5*x-4)

-x*(x+16/5) = 0

( -x )

-1*x = 0 // : -1

x = 0

( x+16/5 )

x+16/5 = 0 // - 16/5

x = -16/5

x in { 0, -16/5 }

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