4b^2w^3/3c^2k+5x^2/6b^3k^2

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Solution for 4b^2w^3/3c^2k+5x^2/6b^3k^2 equation: 


x in (-oo:+oo)

b^3*k^2*((5*x^2)/6)+c^2*k*((4*b^2*w^3)/3) = 0

5/6*b^3*k^2*x^2 = -(4/3*b^2*c^2*k*w^3) // : 5/6*b^3*k^2

x^2 = -8/5*b^-1*c^2*k^-1*w^3

x^2 = -8/5*b^-1*c^2*k^-1*w^3 // ^ 1/2

abs(x) = (-8/5)^(1/2)*b^(-1/2)*c*k^(-1/2)*w^(3/2)

x = (-8/5)^(1/2)*b^(-1/2)*c*k^(-1/2)*w^(3/2) or x = -((-8/5)^(1/2)*b^(-1/2)*c*k^(-1/2)*w^(3/2))

x in { (-8/5)^(1/2)*b^(-1/2)*c*k^(-1/2)*w^(3/2), -((-8/5)^(1/2)*b^(-1/2)*c*k^(-1/2)*w^(3/2)) }

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