36=((x-6)x)/2

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Solution for 36=((x-6)x)/2 equation: 


x in (-oo:+oo)

36 = (x*(x-6))/2 // - (x*(x-6))/2

36-((x*(x-6))/2) = 0

(-1*x*(x-6))/2+36 = 0

(-1*x*(x-6))/2+(2*36)/2 = 0

2*36-1*x*(x-6) = 0

6*x-x^2+72 = 0

6*x-x^2+72 = 0

6*x-x^2+72 = 0

DELTA = 6^2-(-1*4*72)

DELTA = 324

DELTA > 0

x = (324^(1/2)-6)/(-1*2) or x = (-324^(1/2)-6)/(-1*2)

x = -6 or x = 12

(x+6)*(x-12) = 0

((x+6)*(x-12))/2 = 0

((x+6)*(x-12))/2 = 0 // * 2

(x+6)*(x-12) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x-12 )

x-12 = 0 // + 12

x = 12

x in { -6, 12 }

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