3x^3-15x^4v^2/6x^5w^3

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Solution for 3x^3-15x^4v^2/6x^5w^3 equation:


x in (-oo:+oo)

3*x^3-(((15*v^2*x^4)/6)*w^3*x^5) = 0

(-5/2)*v^2*w^3*x^9+3*x^3 = 0

3*x^3-5/2*v^2*w^3*x^9 = 0

t_1 = x^3

3*t_1^1-5/2*t_1^3*v^2*w^3 = 0

3*t_1-5/2*t_1^3*v^2*w^3 = 0

t_1*(3-5/2*t_1^2*v^2*w^3) = 0

-5/2*t_1^2*v^2*w^3 = -3 // : -5/2*v^2*w^3

t_1^2 = 6/5*v^-2*w^-3

t_1^2 = 6/5*v^-2*w^-3 // ^ 1/2

abs(t_1) = (6/5)^(1/2)*v^-1*w^(-3/2)

t_1 = (6/5)^(1/2)*v^-1*w^(-3/2) or t_1 = -((6/5)^(1/2)*v^-1*w^(-3/2))

t_1 = 0

t_1 = 0

t_1 = (6/5)^(1/2)*v^-1*w^(-3/2)

x^3-((6/5)^(1/2)*v^-1*w^(-3/2)) = 0

1*x^3 = -(-(6/5)^(1/2)*v^-1*w^(-3/2)) // : 1

x^3 = -(-(6/5)^(1/2)*v^-1*w^(-3/2))

x^3 = -(-(6/5)^(1/2)*v^-1*w^(-3/2)) // ^ 1/3

x = (6/5)^(1/6)*v^(-1/3)*w^(-1/2)

t_1 = -((6/5)^(1/2)*v^-1*w^(-3/2))

(6/5)^(1/2)*v^-1*w^(-3/2)+x^3 = 0

1*x^3 = -((6/5)^(1/2)*v^-1*w^(-3/2)) // : 1

x^3 = -((6/5)^(1/2)*v^-1*w^(-3/2))

x^3 = -((6/5)^(1/2)*v^-1*w^(-3/2)) // ^ 1/3

x = (6/5)^(1/6)*v^(-1/3)*w^(-1/2)

t_1 = 0

x^3+0 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { (6/5)^(1/6)*v^(-1/3)*w^(-1/2), (6/5)^(1/6)*v^(-1/3)*w^(-1/2), 0 }

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