What are the solutions to the equation 3x^3+12x^2+12x=0 ?

The solutions to the equation 3x^3+12x^2+12x=0 are x=0,x=-2

Find the zeros of 3x^3+12x^2+12x=0

The zeros of 3x^3+12x^2+12x=0 are x=0,x=-2

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

x = 0, x = - 2

Solution steps

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

Factor

3 x^{3} + 12 x^{2} + 12 x : 3 x (x + 2)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0

Solve

x + 2 = 0 : x = - 2

The solutions are

x = 0, x = - 2

z^{6} = - 64

- 3 w^{5} - 4 w^{3} + w^{2} = 0

x^{3} + 5 x = 0

3 x = x^{3}

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

What are the solutions to the equation 3x^3+12x^2+12x=0 ?
The solutions to the equation 3x^3+12x^2+12x=0 are x=0,x=-2
Find the zeros of 3x^3+12x^2+12x=0
The zeros of 3x^3+12x^2+12x=0 are x=0,x=-2