12n3+8x2-6n/2x2

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Solution for 12n3+8x2-6n/2x2 equation:


x in (-oo:+oo)

12*n^3-(((6*n)/2)*x^2)+8*x^2 = 0

12*n^3-3*n*x^2+8*x^2 = 0

t_1 = x^2

12*n^3-3*n*t_1^1+8*t_1^1 = 0

12*n^3+8*t_1 = 0 // - 12*n^3

8*t_1 = -(12*n^3) // : 8

t_1 = (-(12*n^3))/8

t_1 = (-3*n^3)/2

t_1 = (-3*n^3)/2

x^2-((-3*n^3)/2) = 0

(3/2)*n^3+x^2 = 0

1*x^2 = -(3/2*n^3) // : 1

x^2 = -3/2*n^3

x^2 = -3/2*n^3 // ^ 1/2

abs(x) = (-3/2)^(1/2)*n^(3/2)

x = (-3/2)^(1/2)*n^(3/2) or x = -((-3/2)^(1/2)*n^(3/2))

x in { (-3/2)^(1/2)*n^(3/2), -((-3/2)^(1/2)*n^(3/2)) }

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