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

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


D( x )

x+5 = 0

x-4 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

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

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

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

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

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

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

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

2*x^2-2*x^2+6*x-2*x+16+40 = 0

4*x+56 = 0

(4*x+56)/((x-4)*(x+5)) = 0

(4*x+56)/((x-4)*(x+5)) = 0 // * (x-4)*(x+5)

4*x+56 = 0

4*x+56 = 0 // - 56

4*x = -56 // : 4

x = -56/4

x = -14

x = -14

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