x*(x+2)/2=24

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Solution for x*(x+2)/2=24 equation: 


x in (-oo:+oo)

(x*(x+2))/2 = 24 // - 24

(x*(x+2))/2-24 = 0

(x*(x+2))/2+(-24*2)/2 = 0

x*(x+2)-24*2 = 0

x^2+2*x-48 = 0

x^2+2*x-48 = 0

x^2+2*x-48 = 0

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

DELTA = 196

DELTA > 0

x = (196^(1/2)-2)/(1*2) or x = (-196^(1/2)-2)/(1*2)

x = 6 or x = -8

(x+8)*(x-6) = 0

((x+8)*(x-6))/2 = 0

((x+8)*(x-6))/2 = 0 // * 2

(x+8)*(x-6) = 0

( x+8 )

x+8 = 0 // - 8

x = -8

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -8, 6 }

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