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

The solutions to the equation 0=8x^3-8x are x=0,x=-1,x=1

Find the zeros of 0=8x^3-8x

The zeros of 0=8x^3-8x are x=0,x=-1,x=1

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0 = 8 x^{3} - 8 x

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

Solution steps

0 = 8 x^{3} - 8 x

Switch sides

8 x^{3} - 8 x = 0

Factor

8 x^{3} - 8 x : 8 x (x + 1) (x - 1)

8 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

t^{3} - 9 t^{2} + 24 t - 8 = 0

x^{3} + 4 = 31

2 x^{3} + 4 x^{2} - 18 x - 36 = 0

(3 x - 6) - 15 x = 4 x^{6} x

x^{12} = 832

What are the solutions to the equation 0=8x^3-8x ?
The solutions to the equation 0=8x^3-8x are x=0,x=-1,x=1
Find the zeros of 0=8x^3-8x
The zeros of 0=8x^3-8x are x=0,x=-1,x=1