54=1/2(x)(x-3)

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Solution for 54=1/2(x)(x-3) equation: 


x in (-oo:+oo)

54 = (1/2)*x*(x-3) // - (1/2)*x*(x-3)

54-((1/2)*x*(x-3)) = 0

(-1/2)*x*(x-3)+54 = 0

54-1/2*x*(x-3) = 0

54-1/2*x*(x-3) = 0

3/2*x-1/2*x^2+54 = 0

3/2*x-1/2*x^2+54 = 0

3/2*x-1/2*x^2+54 = 0

DELTA = (3/2)^2-(-1/2*4*54)

DELTA = 441/4

DELTA > 0

x = ((441/4)^(1/2)-3/2)/(-1/2*2) or x = (-(441/4)^(1/2)-3/2)/(-1/2*2)

x = -9 or x = 12

(x+9)*(x-12) = 0

(x+9)*(x-12) = 0

( x+9 )

x+9 = 0 // - 9

x = -9

( x-12 )

x-12 = 0 // + 12

x = 12

x in { -9, 12 }

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