((4x+10)/(4))-((5x)/(x-4))=(x)

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Solution for ((4x+10)/(4))-((5x)/(x-4))=(x) equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

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

(4*x+10)/4-((5*x)/(x-4)) = x // - x

(4*x+10)/4-((5*x)/(x-4))-x = 0

(4*x+10)/4-5*x*(x-4)^-1-x = 0

(4*x+10)/4+(-5*x)/(x-4)-x = 0

((4*x+10)*(x-4))/(4*(x-4))+(-5*4*x)/(4*(x-4))+(4*(-x)*(x-4))/(4*(x-4)) = 0

(4*x+10)*(x-4)+4*(-x)*(x-4)-5*4*x = 0

4*x^2-4*x^2-26*x+16*x-40 = 0

-10*x-40 = 0

(-10*x-40)/(4*(x-4)) = 0

(-10*x-40)/(4*(x-4)) = 0 // * 4*(x-4)

-10*x-40 = 0

-10*x-40 = 0 // + 40

-10*x = 40 // : -10

x = 40/(-10)

x = -4

x = -4

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