4v^2x^2-8w^6x^3/8x^5

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Solution for 4v^2x^2-8w^6x^3/8x^5 equation:


x in (-oo:+oo)

4*v^2*x^2-(((8*w^6*x^3)/8)*x^5) = 0

4*v^2*x^2-(w^6*x^8) = 0

t_1 = x^2

4*t_1^1*v^2+t_1^4*(-w^6) = 0

4*t_1*v^2-(t_1^4*w^6) = 0

t_1*(4*v^2-(t_1^3*w^6)) = 0

t_1^3*(-w^6) = -(4*v^2) // : -w^6

t_1^3 = (-4*v^2)/(-w^6)

t_1^3 = (-4*v^2)/(-w^6) // ^ 1/3

t_1 = (-4^(1/3)*v^(2/3))/(w^2)

t_1 = 0

t_1 = 0

t_1 = (-4^(1/3)*v^(2/3))/(w^2)

x^2-((-4^(1/3)*v^(2/3))/(w^2)) = 0

1*x^2 = -(4^(1/3)*v^(2/3)*w^-2) // : 1

x^2 = -(4^(1/3)*v^(2/3)*w^-2)

x^2 = -(4^(1/3)*v^(2/3)*w^-2) // ^ 1/2

abs(x) = 4^(1/6)*v^(1/3)*w^-1

x = 4^(1/6)*v^(1/3)*w^-1 or x = -(4^(1/6)*v^(1/3)*w^-1)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 4^(1/6)*v^(1/3)*w^-1, -(4^(1/6)*v^(1/3)*w^-1), 0 }

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