What are the solutions to the equation 2x^3+6x^2+6x=0 ?

The solutions to the equation 2x^3+6x^2+6x=0 are x=0,x=-3/2+i(sqrt(3))/2 ,x=-3/2-i(sqrt(3))/2

Find the zeros of 2x^3+6x^2+6x=0

The zeros of 2x^3+6x^2+6x=0 are x=0,x=-3/2+i(sqrt(3))/2 ,x=-3/2-i(sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Factor

2 x^{3} + 6 x^{2} + 6 x : 2 x (x^{2} + 3 x + 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 3 x + 3 = 0

Solve

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

The solutions are

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

x, u = x^{3} + y^{3}

y, 9 + y^{3} = - x

(x + 2)^{4} + x^{4} = 82

f^{4} (0.5 f - 0.25) = 6 + f

(x + 4) (x + 2) (x - 1) = 0

What are the solutions to the equation 2x^3+6x^2+6x=0 ?
The solutions to the equation 2x^3+6x^2+6x=0 are x=0,x=-3/2+i(sqrt(3))/2 ,x=-3/2-i(sqrt(3))/2
Find the zeros of 2x^3+6x^2+6x=0
The zeros of 2x^3+6x^2+6x=0 are x=0,x=-3/2+i(sqrt(3))/2 ,x=-3/2-i(sqrt(3))/2