x=(2x-16)/(x+12)

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Solution for x=(2x-16)/(x+12) equation:


D( x )

x+12 = 0

x+12 = 0

x+12 = 0

x+12 = 0 // - 12

x = -12

x in (-oo:-12) U (-12:+oo)

x = (2*x-16)/(x+12) // - (2*x-16)/(x+12)

x-((2*x-16)/(x+12)) = 0

(-1*(2*x-16))/(x+12)+x = 0

(-1*(2*x-16))/(x+12)+(x*(x+12))/(x+12) = 0

x*(x+12)-1*(2*x-16) = 0

x^2+10*x+16 = 0

x^2+10*x+16 = 0

x^2+10*x+16 = 0

DELTA = 10^2-(1*4*16)

DELTA = 36

DELTA > 0

x = (36^(1/2)-10)/(1*2) or x = (-36^(1/2)-10)/(1*2)

x = -2 or x = -8

(x+8)*(x+2) = 0

((x+8)*(x+2))/(x+12) = 0

((x+8)*(x+2))/(x+12) = 0 // * x+12

(x+8)*(x+2) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x+8 )

x+8 = 0 // - 8

x = -8

x in { -2, -8 }

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