189=(1/3x+2)*x

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Solution for 189=(1/3x+2)*x equation:


x in (-oo:+oo)

189 = x*((1/3)*x+2) // - x*((1/3)*x+2)

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

189-1*x*(1/3*x+2) = 0

189-1*x*(1/3*x+2) = 0

189-1/3*x^2-2*x = 0

189-1/3*x^2-2*x = 0

189-1/3*x^2-2*x = 0

DELTA = (-2)^2-(-1/3*4*189)

DELTA = 256

DELTA > 0

x = (256^(1/2)+2)/(-1/3*2) or x = (2-256^(1/2))/(-1/3*2)

x = -27 or x = 21

(x+27)*(x-21) = 0

(x+27)*(x-21) = 0

( x+27 )

x+27 = 0 // - 27

x = -27

( x-21 )

x-21 = 0 // + 21

x = 21

x in { -27, 21 }

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