x^2+(-1/2x+1-1)^2=20

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Solution for x^2+(-1/2x+1-1)^2=20 equation: 


x in (-oo:+oo)

((-1/2)*x-1+1)^2+x^2 = 20 // - 20

((-1/2)*x-1+1)^2+x^2-20 = 0

(x^2)/4+x^2-20 = 0

(x^2)/4+(4*x^2)/4+(-20*4)/4 = 0

x^2+4*x^2-20*4 = 0

5*x^2-80 = 0

(5*x^2-80)/4 = 0

(5*x^2-80)/4 = 0 // * 4

5*x^2-80 = 0

5*x^2 = 80 // : 5

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in { 4, -4 }

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