(2x-2)^2/3=16

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Solution for (2x-2)^2/3=16 equation: 


x in (-oo:+oo)

((2*x-2)^2)/3 = 16 // - 16

((2*x-2)^2)/3-16 = 0

((2*x-2)^2)/3+(-16*3)/3 = 0

(2*x-2)^2-16*3 = 0

4*x^2-8*x-44 = 0

4*x^2-8*x-44 = 0

4*(x^2-2*x-11) = 0

x^2-2*x-11 = 0

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

DELTA = 48

DELTA > 0

x = (48^(1/2)+2)/(1*2) or x = (2-48^(1/2))/(1*2)

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

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

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

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

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

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

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

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

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

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

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

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

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