15/a^2-1=5/2a-1

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Solution for 15/a^2-1=5/2a-1 equation: 


D( a )

a^2 = 0

a^2 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

a in (-oo:0) U (0:+oo)

15/(a^2)-1 = (5/2)*a-1 // - (5/2)*a-1

15/(a^2)-((5/2)*a)-1+1 = 0

(-5/2)*a+15/(a^2)-1+1 = 0

15*a^-2-5/2*a = 0

5*a*(3*a^-3-1/2) = 0

3*a^-3 = 1/2 // : 3

a^-3 = 1/6

-3 < 0

1/(a^3) = 1/6 // * a^3

1 = 1/6*a^3 // : 1/6

6 = a^3

a^3 = 6 // ^ 1/3

a = 6^(1/3)

5*a = 0

5*a = 0 // : 5

a = 0

a in { 0} 

a = 6^(1/3)

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