(1/2)(x-4)^2=8

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Solution for (1/2)(x-4)^2=8 equation: 


x in (-oo:+oo)

(1/2)*(x-4)^2 = 8 // - 8

(1/2)*(x-4)^2-8 = 0

1/2*(x-4)^2-8 = 0

1/2*(x-4)^2-8 = 0

1/2*x^2-4*x = 0

1/2*x^2-4*x = 0

x*(1/2*x-4) = 0

1/2*x-4 = 0 // + 4

1/2*x = 4 // : 1/2

x = 4/1/2

x = 8

x*(x-8) = 0

x*(x-8) = 0

( x-8 )

x-8 = 0 // + 8

x = 8

( x )

x = 0

x in { 8, 0 }

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