4/(x-3)-8/(2x+5)+3/(x-3)

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Solution for 4/(x-3)-8/(2x+5)+3/(x-3) equation: 


D( x )

x-3 = 0

2*x+5 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

2*x+5 = 0

2*x+5 = 0

2*x+5 = 0 // - 5

2*x = -5 // : 2

x = -5/2

x in (-oo:-5/2) U (-5/2:3) U (3:+oo)

4/(x-3)-(8/(2*x+5))+3/(x-3) = 0

4/(x-3)-8*(2*x+5)^-1+3/(x-3) = 0

4/(x-3)-8/(2*x+5)+3/(x-3) = 0

(4*(2*x+5))/((x-3)*(2*x+5))+(-8*(x-3))/((x-3)*(2*x+5))+(3*(2*x+5))/((x-3)*(2*x+5)) = 0

4*(2*x+5)-8*(x-3)+3*(2*x+5) = 0

6*x+15+44 = 0

6*x+59 = 0

(6*x+59)/((x-3)*(2*x+5)) = 0

(6*x+59)/((x-3)*(2*x+5)) = 0 // * (x-3)*(2*x+5)

6*x+59 = 0

6*x+59 = 0 // - 59

6*x = -59 // : 6

x = -59/6

x = -59/6

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