((x-6)(x+3))/2=81

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Solution for ((x-6)(x+3))/2=81 equation: 


x in (-oo:+oo)

((x-6)*(x+3))/2 = 81 // - 81

((x-6)*(x+3))/2-81 = 0

((x-6)*(x+3))/2+(-81*2)/2 = 0

(x-6)*(x+3)-81*2 = 0

x^2-3*x-180 = 0

x^2-3*x-180 = 0

x^2-3*x-180 = 0

DELTA = (-3)^2-(-180*1*4)

DELTA = 729

DELTA > 0

x = (729^(1/2)+3)/(1*2) or x = (3-729^(1/2))/(1*2)

x = 15 or x = -12

(x+12)*(x-15) = 0

((x+12)*(x-15))/2 = 0

((x+12)*(x-15))/2 = 0 // * 2

(x+12)*(x-15) = 0

( x+12 )

x+12 = 0 // - 12

x = -12

( x-15 )

x-15 = 0 // + 15

x = 15

x in { -12, 15 }

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