((x+12)*x)/2=80

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Solution for ((x+12)*x)/2=80 equation: 


x in (-oo:+oo)

(x*(x+12))/2 = 80 // - 80

(x*(x+12))/2-80 = 0

(x*(x+12))/2+(-80*2)/2 = 0

x*(x+12)-80*2 = 0

x^2+12*x-160 = 0

x^2+12*x-160 = 0

x^2+12*x-160 = 0

DELTA = 12^2-(-160*1*4)

DELTA = 784

DELTA > 0

x = (784^(1/2)-12)/(1*2) or x = (-784^(1/2)-12)/(1*2)

x = 8 or x = -20

(x+20)*(x-8) = 0

((x+20)*(x-8))/2 = 0

((x+20)*(x-8))/2 = 0 // * 2

(x+20)*(x-8) = 0

( x+20 )

x+20 = 0 // - 20

x = -20

( x-8 )

x-8 = 0 // + 8

x = 8

x in { -20, 8 }

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