64=(x+12)^2/3

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Solution for 64=(x+12)^2/3 equation: 


x in (-oo:+oo)

64 = ((x+12)^2)/3 // - ((x+12)^2)/3

64-(((x+12)^2)/3) = 0

(-1*(x+12)^2)/3+64 = 0

(-1*(x+12)^2)/3+(3*64)/3 = 0

3*64-1*(x+12)^2 = 0

48-x^2-24*x = 0

48-x^2-24*x = 0

48-x^2-24*x = 0

DELTA = (-24)^2-(-1*4*48)

DELTA = 768

DELTA > 0

x = (768^(1/2)+24)/(-1*2) or x = (24-768^(1/2))/(-1*2)

x = (16*3^(1/2)+24)/(-2) or x = (24-16*3^(1/2))/(-2)

(x-((16*3^(1/2)+24)/(-2)))*(x-((24-16*3^(1/2))/(-2))) = 0

((x-((16*3^(1/2)+24)/(-2)))*(x-((24-16*3^(1/2))/(-2))))/3 = 0

((x-((16*3^(1/2)+24)/(-2)))*(x-((24-16*3^(1/2))/(-2))))/3 = 0 // * 3

(x-((16*3^(1/2)+24)/(-2)))*(x-((24-16*3^(1/2))/(-2))) = 0

( x-((16*3^(1/2)+24)/(-2)) )

x-((16*3^(1/2)+24)/(-2)) = 0 // + (16*3^(1/2)+24)/(-2)

x = (16*3^(1/2)+24)/(-2)

( x-((24-16*3^(1/2))/(-2)) )

x-((24-16*3^(1/2))/(-2)) = 0 // + (24-16*3^(1/2))/(-2)

x = (24-16*3^(1/2))/(-2)

x in { (16*3^(1/2)+24)/(-2), (24-16*3^(1/2))/(-2) }

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