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

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

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

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

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

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

Solution steps

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

Factor

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

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}

- 4 x^{4} + x^{3} + x^{2} + x + 3.5 = 0

200 s^{3} + 332 s^{2} + 223 s + 2 = 0

r^{3} - r = 0

x^{3} - 6 x^{2} + 10 x - 4 = 0

x^{4} - 7 x^{2} - 44 = 0

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