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

The solutions to the equation 3x^3+6x^2+3x=0 are x=0,x=-1

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

The zeros of 3x^3+6x^2+3x=0 are x=0,x=-1

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

x = 0, x = - 1

Solution steps

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

Factor

3 x^{3} + 6 x^{2} + 3 x : 3 x (x + 1)^{2}

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

t = - t^{3} + 10 t^{2} - 29 t + 29

2 x^{3} + 3 x^{2} - 12 x + 6 = 0

x^{3} + 3 x^{2} + 2 x + 1 = 0

x^{3} - 12 x^{2} + 48 x - 63 = 0

What are the solutions to the equation 3x^3+6x^2+3x=0 ?
The solutions to the equation 3x^3+6x^2+3x=0 are x=0,x=-1
Find the zeros of 3x^3+6x^2+3x=0
The zeros of 3x^3+6x^2+3x=0 are x=0,x=-1