(x-2)/(x-1)=(x+4)/(2x+2)

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Solution for (x-2)/(x-1)=(x+4)/(2x+2) equation:


D( x )

2*x+2 = 0

x-1 = 0

2*x+2 = 0

2*x+2 = 0

2*x+2 = 0 // - 2

2*x = -2 // : 2

x = -2/2

x = -1

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:-1) U (-1:1) U (1:+oo)

(x-2)/(x-1) = (x+4)/(2*x+2) // - (x+4)/(2*x+2)

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

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

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

(x-2)*(2*x+2)-1*(x+4)*(x-1) = 0

x^2-5*x = 0

x^2-5*x = 0

x*(x-5) = 0

x-5 = 0 // + 5

x = 5

x*(x-5) = 0

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

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

x*(x-5) = 0

( x-5 )

x-5 = 0 // + 5

x = 5

( x )

x = 0

x in { 5, 0 }

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