(x+6)^2/3=9

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Solution for (x+6)^2/3=9 equation: 


x in (-oo:+oo)

((x+6)^2)/3 = 9 // - 9

((x+6)^2)/3-9 = 0

((x+6)^2)/3+(-9*3)/3 = 0

(x+6)^2-9*3 = 0

x^2+12*x+9 = 0

x^2+12*x+9 = 0

x^2+12*x+9 = 0

DELTA = 12^2-(1*4*9)

DELTA = 108

DELTA > 0

x = (108^(1/2)-12)/(1*2) or x = (-108^(1/2)-12)/(1*2)

x = (6*3^(1/2)-12)/2 or x = (-6*3^(1/2)-12)/2

(x-((-6*3^(1/2)-12)/2))*(x-((6*3^(1/2)-12)/2)) = 0

((x-((-6*3^(1/2)-12)/2))*(x-((6*3^(1/2)-12)/2)))/3 = 0

((x-((-6*3^(1/2)-12)/2))*(x-((6*3^(1/2)-12)/2)))/3 = 0 // * 3

(x-((-6*3^(1/2)-12)/2))*(x-((6*3^(1/2)-12)/2)) = 0

( x-((-6*3^(1/2)-12)/2) )

x-((-6*3^(1/2)-12)/2) = 0 // + (-6*3^(1/2)-12)/2

x = (-6*3^(1/2)-12)/2

( x-((6*3^(1/2)-12)/2) )

x-((6*3^(1/2)-12)/2) = 0 // + (6*3^(1/2)-12)/2

x = (6*3^(1/2)-12)/2

x in { (-6*3^(1/2)-12)/2, (6*3^(1/2)-12)/2 }

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