0.2=80-a/(80+a/2)

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Solution for 0.2=80-a/(80+a/2) equation:


D( a )

a/2+80 = 0

a/2+80 = 0

a/2+80 = 0

1/2*a+80 = 0 // - 80

1/2*a = -80 // : 1/2

a = -80/1/2

a = -160

a in (-oo:-160) U (-160:+oo)

0.2 = 80-(a/(a/2+80)) // - 80-(a/(a/2+80))

a/(a/2+80)-80+0.2 = 0

a/(1/2*a+80)-80+0.2 = 0

a/(1/2*a+80)+(-80*(1/2*a+80))/(1/2*a+80)+(0.2*(1/2*a+80))/(1/2*a+80) = 0

0.2*(1/2*a+80)-80*(1/2*a+80)+a = 0

0.1*a-39*a-6400+16 = 0

-38.9*a-6384 = 0

(-38.9*a-6384)/(1/2*a+80) = 0

(-38.9*a-6384)/(1/2*a+80) = 0 // * 1/2*a+80

-38.9*a-6384 = 0

-38.9*a-6384 = 0 // + 6384

-38.9*a = 6384 // : -38.9

a = 6384/(-38.9)

a = -164.11311054

a = -164.11311054

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