Solve 4x^5 - 20x^4 - 36x^3

Evaluate

4 x^{5} - 20 x^{4} - 36 x^{3}

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

4 x^{5} - 20 x^{4} - 36 x^{3} = 0

Factor the expression

4 x^{3} (x^{2} - 5 x - 9) = 0

Divide both sides

x^{3} (x^{2} - 5 x - 9) = 0

Separate the equation into 2 possible cases

x^{3} = 0 x^{2} - 5 x - 9 = 0

The only way a power can be 0 is when the base equals 0

x = 0 x^{2} - 5 x - 9 = 0

Solve the equation

More Steps

x = 0 x = \frac{5 + 61}{2} x = \frac{5 - 61}{2}

Solution

x_{1} = \frac{5 - 61}{2}, x_{2} = 0, x_{3} = \frac{5 + 61}{2}

Alternative Form

x_{1} \approx - 1.405125, x_{2} = 0, x_{3} \approx 6.405125

Factor the expression