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

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


x in (-oo:+oo)

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

(-1/4)*v^4*x^8+4*w^2*x^2 = 0

4*w^2*x^2-1/4*v^4*x^8 = 0

t_1 = x^2

4*t_1^1*w^2-1/4*t_1^4*v^4 = 0

4*t_1*w^2-1/4*t_1^4*v^4 = 0

t_1*(4*w^2-1/4*t_1^3*v^4) = 0

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

t_1^3 = 16*v^-4*w^2

t_1^3 = 16*v^-4*w^2 // ^ 1/3

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

t_1 = 0

t_1 = 0

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

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

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

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

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

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

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

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

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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