What are the solutions to the equation x^3-6x^2+8x=0 ?

The solutions to the equation x^3-6x^2+8x=0 are x=0,x=2,x=4

Find the zeros of x^3-6x^2+8x=0

The zeros of x^3-6x^2+8x=0 are x=0,x=2,x=4

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x^{3} - 6 x^{2} + 8 x = 0

x = 0, x = 2, x = 4

Solution steps

x^{3} - 6 x^{2} + 8 x = 0

Factor

x^{3} - 6 x^{2} + 8 x : x (x - 2) (x - 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or x - 4 = 0

Solve

x - 2 = 0 : x = 2

Solve

x - 4 = 0 : x = 4

The solutions are

x = 0, x = 2, x = 4

x^{3} - 5 x^{2} + 5 x - 25 = 0

- x^{3} + 13 x^{2} - 56 x + 80 = 0

z^{3} - 27 = 0

- x^{3} + 6 x^{2} - 9 x + 4 = 0

x^{4} - 37 x^{2} + 36 = 0

What are the solutions to the equation x^3-6x^2+8x=0 ?
The solutions to the equation x^3-6x^2+8x=0 are x=0,x=2,x=4
Find the zeros of x^3-6x^2+8x=0
The zeros of x^3-6x^2+8x=0 are x=0,x=2,x=4