What are the solutions to the equation 0=x-x^3 ?

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

Find the zeros of 0=x-x^3

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

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0 = x - x^{3}

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

Solution steps

0 = x - x^{3}

Switch sides

x - x^{3} = 0

Factor

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

- x (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 1 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

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

x^{3} - 7 x^{2} + 12 x - 6 = 0

384 = 3 h \cdot 2 h \cdot h

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

2 x^{3} - 7 x^{2} + 4 x + 1 = 0

2 t^{3} - 3 t^{2} - 2 t - 42 = 0

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