What are the solutions to the equation 8x^3-12x=0 ?

The solutions to the equation 8x^3-12x=0 are x=0,x=-sqrt(3/2),x=sqrt(3/2)

Find the zeros of 8x^3-12x=0

The zeros of 8x^3-12x=0 are x=0,x=-sqrt(3/2),x=sqrt(3/2)

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8 x^{3} - 12 x = 0

x = 0, x = - \frac{3}{2}, x = \frac{3}{2}

Solution steps

8 x^{3} - 12 x = 0

Factor

8 x^{3} - 12 x : 4 x (2 x + 3) (2 x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 3 = 0 or 2 x - 3 = 0

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

Solve

2 x - 3 = 0 : x = \frac{3}{2}

The solutions are

x = 0, x = - \frac{3}{2}, x = \frac{3}{2}

x^{12} - 8 x^{2} = 9

- \frac{40}{3} t^{3} + 8000 t = 5440

(x + 1) \cdot x^{3} = x + 11

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

x^{10} = 10

What are the solutions to the equation 8x^3-12x=0 ?
The solutions to the equation 8x^3-12x=0 are x=0,x=-sqrt(3/2),x=sqrt(3/2)
Find the zeros of 8x^3-12x=0
The zeros of 8x^3-12x=0 are x=0,x=-sqrt(3/2),x=sqrt(3/2)