2/3a3/4=3/4a

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Solution for 2/3a3/4=3/4a equation:


a in (-oo:+oo)

((2/3)*a^3)/4 = (3/4)*a // - (3/4)*a

((2/3)*a^3)/4-((3/4)*a) = 0

((2/3)*a^3)/4+(-3/4)*a = 0

1/6*a^3-3/4*a = 0

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

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

a^2 = 9/2

a^2 = 9/2 // ^ 1/2

abs(a) = (9/2)^(1/2)

a = (9/2)^(1/2) or a = -(9/2)^(1/2)

a/2 = 0

1/2*a = 0 // : 1/2

a = 0

a in { (9/2)^(1/2), -(9/2)^(1/2), 0 }

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