3x/(2*(x-10))-1/2=4/(x-10)

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Solution for 3x/(2*(x-10))-1/2=4/(x-10) equation:


D( x )

2*(x-10) = 0

x-10 = 0

2*(x-10) = 0

2*(x-10) = 0

( 2 )

2 = 0

x belongs to the empty set

( x-10 )

x-10 = 0 // + 10

x = 10

x-10 = 0

x-10 = 0

x-10 = 0 // + 10

x = 10

x in (-oo:10) U (10:+oo)

(3*x)/(2*(x-10))-(1/2) = 4/(x-10) // - 4/(x-10)

(3*x)/(2*(x-10))-(4/(x-10))-(1/2) = 0

(3*x)/(2*(x-10))-4*(x-10)^-1-1/2 = 0

(3*x)/(2*(x-10))-4/(x-10)-1/2 = 0

(3*x)/(2*(x-10))+(-4*2)/(2*(x-10))+(-1*(x-10))/(2*(x-10)) = 0

3*x-1*(x-10)-4*2 = 0

3*x-x-8+10 = 0

2*x+2 = 0

(2*x+2)/(2*(x-10)) = 0

(2*x+2)/(2*(x-10)) = 0 // * 2*(x-10)

2*x+2 = 0

2*x+2 = 0 // - 2

2*x = -2 // : 2

x = -2/2

x = -1

x = -1

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