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

The solutions to the equation x^3-3x^2+3x=x are x=0,x=1,x=2

Find the zeros of x^3-3x^2+3x=x

The zeros of x^3-3x^2+3x=x are x=0,x=1,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} - 3 x^{2} + 3 x = x

x = 0, x = 1, x = 2

Solution steps

x^{3} - 3 x^{2} + 3 x = x

Move

x

to the left side

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

Factor

x^{3} - 3 x^{2} + 2 x : x (x - 1) (x - 2)

x (x - 1) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x - 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = 1, x = 2

(x - 3)^{3} - 1 = 26

x^{3} + 4 x^{2} - 8 x = 32

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

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

x^{4} - 13 x^{2} + 22 = 0

What are the solutions to the equation x^3-3x^2+3x=x ?
The solutions to the equation x^3-3x^2+3x=x are x=0,x=1,x=2
Find the zeros of x^3-3x^2+3x=x
The zeros of x^3-3x^2+3x=x are x=0,x=1,x=2