(2a-1)=(a+7)/(a+1)

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Solution for (2a-1)=(a+7)/(a+1) equation:


D( a )

a+1 = 0

a+1 = 0

a+1 = 0

a+1 = 0 // - 1

a = -1

a in (-oo:-1) U (-1:+oo)

2*a-1 = (a+7)/(a+1) // - (a+7)/(a+1)

2*a-((a+7)/(a+1))-1 = 0

(-1*(a+7))/(a+1)+2*a-1 = 0

(-1*(a+7))/(a+1)+(2*a*(a+1))/(a+1)+(-1*(a+1))/(a+1) = 0

2*a*(a+1)-1*(a+7)-1*(a+1) = 0

2*a^2+a-a-7-1 = 0

2*a^2-8 = 0

(2*a^2-8)/(a+1) = 0

(2*a^2-8)/(a+1) = 0 // * a+1

2*a^2-8 = 0

2*a^2 = 8 // : 2

a^2 = 4

a^2 = 4 // ^ 1/2

abs(a) = 2

a = 2 or a = -2

a in { 2, -2 }

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