x/2(28-x)=96

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Solution for x/2(28-x)=96 equation: 


x in (-oo:+oo)

(x/2)*(28-x) = 96 // - 96

(x/2)*(28-x)-96 = 0

1/2*x*(28-x)-96 = 0

1/2*x*(28-x)-96 = 0

14*x-1/2*x^2-96 = 0

14*x-1/2*x^2-96 = 0

14*x-1/2*x^2-96 = 0

DELTA = 14^2-(-96*(-1/2)*4)

DELTA = 4

DELTA > 0

x = (4^(1/2)-14)/(-1/2*2) or x = (-4^(1/2)-14)/(-1/2*2)

x = 12 or x = 16

(x-12)*(x-16) = 0

(x-12)*(x-16) = 0

( x-12 )

x-12 = 0 // + 12

x = 12

( x-16 )

x-16 = 0 // + 16

x = 16

x in { 12, 16 }

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