108=(1/3x+5)*x

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Solution for 108=(1/3x+5)*x equation: 


x in (-oo:+oo)

108 = x*((1/3)*x+5) // - x*((1/3)*x+5)

108-(x*((1/3)*x+5)) = 0

108-1*x*(1/3*x+5) = 0

108-1*x*(1/3*x+5) = 0

108-1/3*x^2-5*x = 0

108-1/3*x^2-5*x = 0

108-1/3*x^2-5*x = 0

DELTA = (-5)^2-(-1/3*4*108)

DELTA = 169

DELTA > 0

x = (169^(1/2)+5)/(-1/3*2) or x = (5-169^(1/2))/(-1/3*2)

x = -27 or x = 12

(x+27)*(x-12) = 0

(x+27)*(x-12) = 0

( x+27 )

x+27 = 0 // - 27

x = -27

( x-12 )

x-12 = 0 // + 12

x = 12

x in { -27, 12 }

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