a*(a-14)=29+28/2a

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Solution for a*(a-14)=29+28/2a equation: 


a in (-oo:+oo)

a*(a-14) = (28/2)*a+29 // - (28/2)*a+29

a*(a-14)-((28/2)*a)-29 = 0

a*(a-14)-14*a-29 = 0

a*(a-14)-14*a-29 = 0

a^2-28*a-29 = 0

a^2-28*a-29 = 0

a^2-28*a-29 = 0

DELTA = (-28)^2-(-29*1*4)

DELTA = 900

DELTA > 0

a = (900^(1/2)+28)/(1*2) or a = (28-900^(1/2))/(1*2)

a = 29 or a = -1

(a+1)*(a-29) = 0

(a+1)*(a-29) = 0

( a+1 )

a+1 = 0 // - 1

a = -1

( a-29 )

a-29 = 0 // + 29

a = 29

a in { -1, 29 }

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