36=(x-1)((1/2)x-1)

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Solution for 36=(x-1)((1/2)x-1) equation: 


x in (-oo:+oo)

36 = (x-1)*((1/2)*x-1) // - (x-1)*((1/2)*x-1)

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

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

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

3/2*x-1/2*x^2+35 = 0

3/2*x-1/2*x^2+35 = 0

3/2*x-1/2*x^2+35 = 0

DELTA = (3/2)^2-(-1/2*4*35)

DELTA = 289/4

DELTA > 0

x = ((289/4)^(1/2)-3/2)/(-1/2*2) or x = (-(289/4)^(1/2)-3/2)/(-1/2*2)

x = -7 or x = 10

(x+7)*(x-10) = 0

(x+7)*(x-10) = 0

( x+7 )

x+7 = 0 // - 7

x = -7

( x-10 )

x-10 = 0 // + 10

x = 10

x in { -7, 10 }

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