What are the solutions to the equation x(x^2+x+1)=0 ?

The solutions to the equation x(x^2+x+1)=0 are x=0,x=-1/2+i(sqrt(3))/2 ,x=-1/2-i(sqrt(3))/2

Find the zeros of x(x^2+x+1)=0

The zeros of x(x^2+x+1)=0 are x=0,x=-1/2+i(sqrt(3))/2 ,x=-1/2-i(sqrt(3))/2

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x (x^{2} + x + 1) = 0

x = 0, x = - \frac{1}{2} + i \frac{3}{2}, x = - \frac{1}{2} - i \frac{3}{2}

Solution steps

x (x^{2} + x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + x + 1 = 0

Solve

x^{2} + x + 1 = 0 : x = - \frac{1}{2} + i \frac{3}{2}, x = - \frac{1}{2} - i \frac{3}{2}

The solutions are

x = 0, x = - \frac{1}{2} + i \frac{3}{2}, x = - \frac{1}{2} - i \frac{3}{2}

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

y^{3} - 4 y = 0

z^{4} = 3 - 3 i

x^{4} - 3 x^{2} - 2 x - 59 = 0

c^{11} = - 1 - \frac{c}{2}

What are the solutions to the equation x(x^2+x+1)=0 ?
The solutions to the equation x(x^2+x+1)=0 are x=0,x=-1/2+i(sqrt(3))/2 ,x=-1/2-i(sqrt(3))/2
Find the zeros of x(x^2+x+1)=0
The zeros of x(x^2+x+1)=0 are x=0,x=-1/2+i(sqrt(3))/2 ,x=-1/2-i(sqrt(3))/2