(3x+6)/3x=0.5

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Solution for (3x+6)/3x=0.5 equation: 


x in (-oo:+oo)

x*((3*x+6)/3) = 0.5 // - 0.5

x*((3*x+6)/3)-0.5 = 0

(x*(3*x+6))/3-0.5 = 0

(x*(3*x+6))/3+(-0.5*3)/3 = 0

x*(3*x+6)-0.5*3 = 0

3*x^2+6*x-1.5 = 0

3*x^2+6*x-1.5 = 0

3*x^2+6*x-1.5 = 0

DELTA = 6^2-(-1.5*3*4)

DELTA = 54

DELTA > 0

x = (54^(1/2)-6)/(2*3) or x = (-54^(1/2)-6)/(2*3)

x = (3*6^(1/2)-6)/6 or x = (-3*6^(1/2)-6)/6

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

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

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

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

( x-((-3*6^(1/2)-6)/6) )

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

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

( x-((3*6^(1/2)-6)/6) )

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

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

x in { (-3*6^(1/2)-6)/6, (3*6^(1/2)-6)/6 }

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