x/2(x-3)=6

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Solution for x/2(x-3)=6 equation: 


x in (-oo:+oo)

(x/2)*(x-3) = 6 // - 6

(x/2)*(x-3)-6 = 0

1/2*x*(x-3)-6 = 0

1/2*x*(x-3)-6 = 0

1/2*x^2-3/2*x-6 = 0

1/2*x^2-3/2*x-6 = 0

1/2*x^2-3/2*x-6 = 0

DELTA = (-3/2)^2-(-6*1/2*4)

DELTA = 57/4

DELTA > 0

x = ((57/4)^(1/2)+3/2)/(1/2*2) or x = (3/2-(57/4)^(1/2))/(1/2*2)

x = (57/4)^(1/2)+3/2 or x = 3/2-(57/4)^(1/2)

(x+(57/4)^(1/2)-3/2)*(x-(57/4)^(1/2)-3/2) = 0

(x+(57/4)^(1/2)-3/2)*(x-(57/4)^(1/2)-3/2) = 0

( x+(57/4)^(1/2)-3/2 )

x+(57/4)^(1/2)-3/2 = 0 // - (57/4)^(1/2)-3/2

x = -((57/4)^(1/2)-3/2)

x = 3/2-(57/4)^(1/2)

( x-(57/4)^(1/2)-3/2 )

x-(57/4)^(1/2)-3/2 = 0 // + (57/4)^(1/2)+3/2

x = (57/4)^(1/2)+3/2

x in { 3/2-(57/4)^(1/2), (57/4)^(1/2)+3/2 }

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