(x+8/3)^2=7/9

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Solution for (x+8/3)^2=7/9 equation: 


x in (-oo:+oo)

(x+8/3)^2 = 7/9 // - 7/9

(x+8/3)^2-(7/9) = 0

(x+8/3)^2-7/9 = 0

(9*(x+8/3)^2)/9-7/9 = 0

9*(x+8/3)^2-7 = 0

9*x^2+48*x+57 = 0

9*x^2+48*x+57 = 0

3*(3*x^2+16*x+19) = 0

3*x^2+16*x+19 = 0

DELTA = 16^2-(3*4*19)

DELTA = 28

DELTA > 0

x = (28^(1/2)-16)/(2*3) or x = (-28^(1/2)-16)/(2*3)

x = (2*7^(1/2)-16)/6 or x = (-2*7^(1/2)-16)/6

3*(x-((-2*7^(1/2)-16)/6))*(x-((2*7^(1/2)-16)/6)) = 0

(3*(x-((-2*7^(1/2)-16)/6))*(x-((2*7^(1/2)-16)/6)))/9 = 0

(3*(x-((-2*7^(1/2)-16)/6))*(x-((2*7^(1/2)-16)/6)))/9 = 0 // * 9

3*(x-((-2*7^(1/2)-16)/6))*(x-((2*7^(1/2)-16)/6)) = 0

( x-((-2*7^(1/2)-16)/6) )

x-((-2*7^(1/2)-16)/6) = 0 // + (-2*7^(1/2)-16)/6

x = (-2*7^(1/2)-16)/6

( x-((2*7^(1/2)-16)/6) )

x-((2*7^(1/2)-16)/6) = 0 // + (2*7^(1/2)-16)/6

x = (2*7^(1/2)-16)/6

x in { (-2*7^(1/2)-16)/6, (2*7^(1/2)-16)/6 }

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