1/2(x-4)x=16

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Solution for 1/2(x-4)x=16 equation: 


x in (-oo:+oo)

(1/2)*x*(x-4) = 16 // - 16

(1/2)*x*(x-4)-16 = 0

1/2*x*(x-4)-16 = 0

1/2*x*(x-4)-16 = 0

1/2*x^2-2*x-16 = 0

1/2*x^2-2*x-16 = 0

1/2*x^2-2*x-16 = 0

DELTA = (-2)^2-(-16*1/2*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(1/2*2) or x = (2-36^(1/2))/(1/2*2)

x = 8 or x = -4

(x+4)*(x-8) = 0

(x+4)*(x-8) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-8 )

x-8 = 0 // + 8

x = 8

x in { -4, 8 }

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