x/2(x-2)=2/5(3-2x)

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Solution for x/2(x-2)=2/5(3-2x) equation: 


x in (-oo:+oo)

(x/2)*(x-2) = (2/5)*(3-(2*x)) // - (2/5)*(3-(2*x))

(x/2)*(x-2)-((2/5)*(3-(2*x))) = 0

(x/2)*(x-2)+(-2/5)*(3-2*x) = 0

1/2*x*(x-2)-2/5*(3-2*x) = 0

1/2*x*(x-2)-2/5*(3-2*x) = 0

1/2*x^2-1/5*x-6/5 = 0

1/2*x^2-1/5*x-6/5 = 0

1/2*x^2-1/5*x-6/5 = 0

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

DELTA = 61/25

DELTA > 0

x = ((61/25)^(1/2)+1/5)/(1/2*2) or x = (1/5-(61/25)^(1/2))/(1/2*2)

x = (61/25)^(1/2)+1/5 or x = 1/5-(61/25)^(1/2)

(x+(61/25)^(1/2)-1/5)*(x-(61/25)^(1/2)-1/5) = 0

(x+(61/25)^(1/2)-1/5)*(x-(61/25)^(1/2)-1/5) = 0

( x+(61/25)^(1/2)-1/5 )

x+(61/25)^(1/2)-1/5 = 0 // - (61/25)^(1/2)-1/5

x = -((61/25)^(1/2)-1/5)

x = 1/5-(61/25)^(1/2)

( x-(61/25)^(1/2)-1/5 )

x-(61/25)^(1/2)-1/5 = 0 // + (61/25)^(1/2)+1/5

x = (61/25)^(1/2)+1/5

x in { 1/5-(61/25)^(1/2), (61/25)^(1/2)+1/5 }

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