What are the solutions to the equation x^3+9x^2+27x+27=0 ?

The solutions to the equation x^3+9x^2+27x+27=0 are x=-3

Find the zeros of x^3+9x^2+27x+27=0

The zeros of x^3+9x^2+27x+27=0 are x=-3

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x^{3} + 9 x^{2} + 27 x + 27 = 0

x = - 3

Solution steps

x^{3} + 9 x^{2} + 27 x + 27 = 0

Factor

x^{3} + 9 x^{2} + 27 x + 27 : (x + 3)^{3}

(x + 3)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 3 = 0

Solve

x + 3 = 0 : x = - 3

The solution is

x = - 3

4 x^{3} + 2 x = 0

8 x^{4} - 72 x^{2} = 0

a^{3} = 70

3 x^{3} + 25 = x^{2} + 75 x

x^{5} + 32 = 0

What are the solutions to the equation x^3+9x^2+27x+27=0 ?
The solutions to the equation x^3+9x^2+27x+27=0 are x=-3
Find the zeros of x^3+9x^2+27x+27=0
The zeros of x^3+9x^2+27x+27=0 are x=-3