What are the roots of the equation? 4x^3−20x^2+24x=0

Factoring and solving a quadratic equation, it is found that the roots of the equation are:

The equation given is:

Factoring the common term:

For the roots:

Or

Which is a quadratic equation with coefficients , and then:

Thus, the other two roots are and .

A similar problem is given at link

4x³ - 20x² + 24x = 0

4x(x² - 5x + 6) = 0

4x(x - 2)(x - 3) = 0

4x = 0        x - 2 = 0          x - 3 = 0

 x = 0            x = 2              x = 3

0, 2, 3