What are the solutions to the equation 3x^3-27x=0 ?

The solutions to the equation 3x^3-27x=0 are x=0,x=-3,x=3

Find the zeros of 3x^3-27x=0

The zeros of 3x^3-27x=0 are x=0,x=-3,x=3

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3 x^{3} - 27 x = 0

x = 0, x = - 3, x = 3

Solution steps

3 x^{3} - 27 x = 0

Factor

3 x^{3} - 27 x : 3 x (x + 3) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 3, x = 3

2 y (y - 9) (y + 4) = 0

4 x^{3} - 12 x^{2} + 8 x = 0

x^{3} - 2 x^{2} = 4 x - 8

2 x^{4} - 15 x^{3} + 18 x^{2} = 0

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

What are the solutions to the equation 3x^3-27x=0 ?
The solutions to the equation 3x^3-27x=0 are x=0,x=-3,x=3
Find the zeros of 3x^3-27x=0
The zeros of 3x^3-27x=0 are x=0,x=-3,x=3