(x+6)/39=24/(2x-4)

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Solution for (x+6)/39=24/(2x-4) equation:


D( x )

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0 // + 4

2*x = 4 // : 2

x = 4/2

x = 2

x in (-oo:2) U (2:+oo)

(x+6)/39 = 24/(2*x-4) // - 24/(2*x-4)

(x+6)/39-(24/(2*x-4)) = 0

(x+6)/39-24*(2*x-4)^-1 = 0

(x+6)/39-24/(2*x-4) = 0

((x+6)*(2*x-4))/(39*(2*x-4))+(-24*39)/(39*(2*x-4)) = 0

(x+6)*(2*x-4)-24*39 = 0

2*x^2+8*x-960 = 0

2*x^2+8*x-960 = 0

2*(x^2+4*x-480) = 0

x^2+4*x-480 = 0

DELTA = 4^2-(-480*1*4)

DELTA = 1936

DELTA > 0

x = (1936^(1/2)-4)/(1*2) or x = (-1936^(1/2)-4)/(1*2)

x = 20 or x = -24

2*(x+24)*(x-20) = 0

(2*(x+24)*(x-20))/(39*(2*x-4)) = 0

(2*(x+24)*(x-20))/(39*(2*x-4)) = 0 // * 39*(2*x-4)

2*(x+24)*(x-20) = 0

( x+24 )

x+24 = 0 // - 24

x = -24

( x-20 )

x-20 = 0 // + 20

x = 20

x in { -24, 20 }

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