What are the solutions to the equation 20x^3-12x^2-20x=0 ?

The solutions to the equation 20x^3-12x^2-20x=0 are x=0,x=(3+sqrt(109))/(10),x=(3-sqrt(109))/(10)

Find the zeros of 20x^3-12x^2-20x=0

The zeros of 20x^3-12x^2-20x=0 are x=0,x=(3+sqrt(109))/(10),x=(3-sqrt(109))/(10)

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20 x^{3} - 12 x^{2} - 20 x = 0

x = 0, x = \frac{3 + 109}{10}, x = \frac{3 - 109}{10}

Decimal Notation

x = 0, x = 1.34403 \dots, x = - 0.74403 \dots

Solution steps

20 x^{3} - 12 x^{2} - 20 x = 0

Factor

20 x^{3} - 12 x^{2} - 20 x : 4 x (5 x^{2} - 3 x - 5)

4 x (5 x^{2} - 3 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x^{2} - 3 x - 5 = 0

Solve

5 x^{2} - 3 x - 5 = 0 : x = \frac{3 + 109}{10}, x = \frac{3 - 109}{10}

The solutions are

x = 0, x = \frac{3 + 109}{10}, x = \frac{3 - 109}{10}

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

2 x^{4} + 17 x^{3} + 43 x^{2} + 37 x + 6 = 0

4 x^{4} - 13 x + 3 = 0

- 4 x^{3} + 6 x^{2} = 0

2 x (x^{2} + 3) = 0

What are the solutions to the equation 20x^3-12x^2-20x=0 ?
The solutions to the equation 20x^3-12x^2-20x=0 are x=0,x=(3+sqrt(109))/(10),x=(3-sqrt(109))/(10)
Find the zeros of 20x^3-12x^2-20x=0
The zeros of 20x^3-12x^2-20x=0 are x=0,x=(3+sqrt(109))/(10),x=(3-sqrt(109))/(10)