What are the solutions to the equation 3x^3-6x=0 ?

The solutions to the equation 3x^3-6x=0 are x=0,x=-sqrt(2),x=sqrt(2)

Find the zeros of 3x^3-6x=0

The zeros of 3x^3-6x=0 are x=0,x=-sqrt(2),x=sqrt(2)

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3 x^{3} - 6 x = 0

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

Solution steps

3 x^{3} - 6 x = 0

Factor

3 x^{3} - 6 x : 3 x (x + 2) (x - 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 2 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

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

x^{3} - 144 x = 0

x^{4} + 3 x^{2} = 4

- x^{3} - 7 x^{2} - 10 x = 0

24 x^{3} + 14 x^{2} + 18 x + 9 = 0

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

What are the solutions to the equation 3x^3-6x=0 ?
The solutions to the equation 3x^3-6x=0 are x=0,x=-sqrt(2),x=sqrt(2)
Find the zeros of 3x^3-6x=0
The zeros of 3x^3-6x=0 are x=0,x=-sqrt(2),x=sqrt(2)