(1,5a-6a^3)/(1,5a+0,75)

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Solution for (1,5a-6a^3)/(1,5a+0,75) equation:


D( a )

1.5*a+0.75 = 0

1.5*a+0.75 = 0

1.5*a+0.75 = 0

1.5*a+0.75 = 0 // - 0.75

1.5*a = -0.75 // : 1.5

a = -0.75/1.5

a = -0.5

a in (-oo:-0.5) U (-0.5:+oo)

(1.5*a-(6*a^3))/(1.5*a+0.75) = 0

(1.5*a-6*a^3)/(1.5*a+0.75) = 0

1.5*a-6*a^3 = 0

a*(1.5-6*a^2) = 0

-6*a^2 = -1.5 // : -6

a^2 = 0.25

a^2 = 0.25 // ^ 1/2

abs(a) = 0.25^(1/2)

a = 0.25^(1/2) or a = -0.25^(1/2)

a*(a-0.25^(1/2))*(a+0.25^(1/2)) = 0

(a*(a-0.25^(1/2))*(a+0.25^(1/2)))/(1.5*a+0.75) = 0

( a+0.25^(1/2) )

a+0.25^(1/2) = 0 // - 0.25^(1/2)

a = -0.25^(1/2)

( a-0.25^(1/2) )

a-0.25^(1/2) = 0 // + 0.25^(1/2)

a = 0.25^(1/2)

( a )

a = 0

a in { -0.25^(1/2)}

a in { 0.25^(1/2), 0 }

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