What are the solutions to the equation 20x^3-12x=0 ?

The solutions to the equation 20x^3-12x=0 are x=0,x=-sqrt(3/5),x=sqrt(3/5)

Find the zeros of 20x^3-12x=0

The zeros of 20x^3-12x=0 are x=0,x=-sqrt(3/5),x=sqrt(3/5)

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20 x^{3} - 12 x = 0

x = 0, x = - \frac{3}{5}, x = \frac{3}{5}

Decimal Notation

x = 0, x = - 0.77459 \dots, x = 0.77459 \dots

Solution steps

20 x^{3} - 12 x = 0

Factor

20 x^{3} - 12 x : 4 x (5 x + 3) (5 x - 3)

4 x (5 x + 3) (5 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x + 3 = 0 or 5 x - 3 = 0

Solve

5 x + 3 = 0 : x = - \frac{3}{5}

Solve

5 x - 3 = 0 : x = \frac{3}{5}

The solutions are

x = 0, x = - \frac{3}{5}, x = \frac{3}{5}

(x^{2} - 6)^{2} = - 3 x^{2} + 18

x^{3} - 5 x + 1 = 0

x^{5} - 32 i = 0

4 x^{5} = - 4 x^{3}

x, x^{4} - 9 x^{2} + 8 = 0

What are the solutions to the equation 20x^3-12x=0 ?
The solutions to the equation 20x^3-12x=0 are x=0,x=-sqrt(3/5),x=sqrt(3/5)
Find the zeros of 20x^3-12x=0
The zeros of 20x^3-12x=0 are x=0,x=-sqrt(3/5),x=sqrt(3/5)