What are the solutions to the equation x^3-5x^2=-6x ?

The solutions to the equation x^3-5x^2=-6x are x=0,x=2,x=3

Find the zeros of x^3-5x^2=-6x

The zeros of x^3-5x^2=-6x are x=0,x=2,x=3

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x^{3} - 5 x^{2} = - 6 x

x = 0, x = 2, x = 3

Solution steps

x^{3} - 5 x^{2} = - 6 x

Move

6 x

to the left side

x^{3} - 5 x^{2} + 6 x = 0

Factor

x^{3} - 5 x^{2} + 6 x : x (x - 2) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or x - 3 = 0

Solve

x - 2 = 0 : x = 2

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 2, x = 3

8 x^{3} - 16 x^{2} - 16 x - 2 = 0

x^{5} - 81 x = 0

6 x^{3} - 21 x^{2} - 12 x = 0

p^{3} - 4 p = 0

605 = 5 x^{3}

What are the solutions to the equation x^3-5x^2=-6x ?
The solutions to the equation x^3-5x^2=-6x are x=0,x=2,x=3
Find the zeros of x^3-5x^2=-6x
The zeros of x^3-5x^2=-6x are x=0,x=2,x=3