Solve -x^4-\frac{8}{3}x^3-4x

Evaluate

- x^{4} - \frac{8}{3} x^{3} - 4 x

To find the roots of the expression,set the expression equal to 0

- x^{4} - \frac{8}{3} x^{3} - 4 x = 0

Factor the expression

- \frac{1}{3} x (3 x^{3} + 8 x^{2} + 12) = 0

Divide both sides

x (3 x^{3} + 8 x^{2} + 12) = 0

Separate the equation into 2 possible cases

x = 0 3 x^{3} + 8 x^{2} + 12 = 0

Solve the equation

x = 0 x \approx - 3.086538

Solution

x_{1} \approx - 3.086538, x_{2} = 0

Factor the expression