What are the solutions to the equation (x)=x^3 ?

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

Find the zeros of (x)=x^3

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

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(x) = x^{3}

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

Solution steps

(x) = x^{3}

Refine

x = x^{3}

Switch sides

x^{3} = x

Move

x

to the left side

x^{3} - x = 0

Factor

x^{3} - x : 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

3 x (x - 2) (5 x + 4) = 0

(25 - 5 x^{2}) (20 - 2 x^{2}) - 9 = 0

z^{6} + 1 = 0

12 x^{2} - 4 x^{3} = 0

- 3 = x^{3}

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