(x-5)/2x-4=-1

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Solution for (x-5)/2x-4=-1 equation: 


x in (-oo:+oo)

x*((x-5)/2)-4 = -1 // + 1

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

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

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

x*(x-5)-4*2+1*2 = 0

x^2-5*x-8+2 = 0

x^2-5*x-6 = 0

x^2-5*x-6 = 0

x^2-5*x-6 = 0

DELTA = (-5)^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(1*2) or x = (5-49^(1/2))/(1*2)

x = 6 or x = -1

(x+1)*(x-6) = 0

((x+1)*(x-6))/2 = 0

((x+1)*(x-6))/2 = 0 // * 2

(x+1)*(x-6) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -1, 6 }

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