What are the solutions to the equation x^3+6x^2+9x=0 ?

The solutions to the equation x^3+6x^2+9x=0 are x=0,x=-3

Find the zeros of x^3+6x^2+9x=0

The zeros of x^3+6x^2+9x=0 are x=0,x=-3

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x^{3} + 6 x^{2} + 9 x = 0

x = 0, x = - 3

Solution steps

x^{3} + 6 x^{2} + 9 x = 0

Factor

x^{3} + 6 x^{2} + 9 x : x (x + 3)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0

Solve

x + 3 = 0 : x = - 3

The solutions are

x = 0, x = - 3

x^{3} - 64 x = 0

x^{3} = 4 x

z^{3} = - 27 i

x^{3} - 2 = 0

x^{3} - 6 x^{2} + 8 x = 0

What are the solutions to the equation x^3+6x^2+9x=0 ?
The solutions to the equation x^3+6x^2+9x=0 are x=0,x=-3
Find the zeros of x^3+6x^2+9x=0
The zeros of x^3+6x^2+9x=0 are x=0,x=-3