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

The solutions to the equation x^3+2x^2+x=0 are x=0,x=-1

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

The zeros of x^3+2x^2+x=0 are x=0,x=-1

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

x = 0, x = - 1

Solution steps

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

Factor

x^{3} + 2 x^{2} + x : x (x + 1)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0

Solve

x + 1 = 0 : x = - 1

The solutions are

x = 0, x = - 1

x^{4} + 5 x^{2} - 36 = 0

2 x^{4} + 4 x^{2} + 1 = 0

z^{4} + 16 = 0

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

- x^{3} + 6 x^{2} - 11 x + 6 = 0

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