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

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

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

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

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

x = 0, x = - 1, x = 2

Solution steps

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

Switch sides

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

Move

x

to the left side

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

Factor

x^{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} - 5 x^{2} + 4 x - 20

500 = 0.02 \frac{t ^{4}}{12}

s^{4} + 60 s^{3} + 1400 s^{2} + 2000 s - 130000 = 0

x^{4} - 12 x^{3} + 77 x^{2} - 260 x + 500 = 0

x^{3} - 5 x^{2} + 11 x - 15 = 0

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