What are the solutions to the equation 18x^3=8x ?

The solutions to the equation 18x^3=8x are x=0,x=-2/3 ,x= 2/3

Find the zeros of 18x^3=8x

The zeros of 18x^3=8x are x=0,x=-2/3 ,x= 2/3

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18 x^{3} = 8 x

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

Decimal Notation

x = 0, x = - 0.66666 \dots, x = 0.66666 \dots

Solution steps

18 x^{3} = 8 x

Move

8 x

to the left side

18 x^{3} - 8 x = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

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

The solutions are

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

(3 + 2 p) (2 p - 3) (p + 1) = 0

- 4 x^{4} - 16 x^{2} = 0

(1 + \frac{x}{12})^{5} = 243

x^{30} = 36

x^{8} + 3 x^{4} + 4 = 0

What are the solutions to the equation 18x^3=8x ?
The solutions to the equation 18x^3=8x are x=0,x=-2/3 ,x= 2/3
Find the zeros of 18x^3=8x
The zeros of 18x^3=8x are x=0,x=-2/3 ,x= 2/3