3x/6(2x-3)=4-7x

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Solution for 3x/6(2x-3)=4-7x equation: 


x in (-oo:+oo)

((3*x)/6)*(2*x-3) = 4-(7*x) // - 4-(7*x)

((3*x)/6)*(2*x-3)+7*x-4 = 0

1/2*x*(2*x-3)+7*x-4 = 0

1/2*x*(2*x-3)+7*x-4 = 0

x^2+11/2*x-4 = 0

x^2+11/2*x-4 = 0

x^2+11/2*x-4 = 0

DELTA = (11/2)^2-(-4*1*4)

DELTA = 185/4

DELTA > 0

x = ((185/4)^(1/2)-11/2)/(1*2) or x = (-(185/4)^(1/2)-11/2)/(1*2)

x = ((185/4)^(1/2)-11/2)/2 or x = (-((185/4)^(1/2)+11/2))/2

(x+((185/4)^(1/2)+11/2)/2)*(x-(((185/4)^(1/2)-11/2)/2)) = 0

(x+((185/4)^(1/2)+11/2)/2)*(x-(((185/4)^(1/2)-11/2)/2)) = 0

( x+((185/4)^(1/2)+11/2)/2 )

x+((185/4)^(1/2)+11/2)/2 = 0 // - ((185/4)^(1/2)+11/2)/2

x = -(((185/4)^(1/2)+11/2)/2)

( x-(((185/4)^(1/2)-11/2)/2) )

x-(((185/4)^(1/2)-11/2)/2) = 0 // + ((185/4)^(1/2)-11/2)/2

x = ((185/4)^(1/2)-11/2)/2

x in { -(((185/4)^(1/2)+11/2)/2), ((185/4)^(1/2)-11/2)/2 }

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