What are the solutions to the equation x^3+6x^2+12x+8=0 ?

The solutions to the equation x^3+6x^2+12x+8=0 are x=-2

Find the zeros of x^3+6x^2+12x+8=0

The zeros of x^3+6x^2+12x+8=0 are x=-2

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x^{3} + 6 x^{2} + 12 x + 8 = 0

x = - 2

Solution steps

x^{3} + 6 x^{2} + 12 x + 8 = 0

Factor

x^{3} + 6 x^{2} + 12 x + 8 : (x + 2)^{3}

(x + 2)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0

Solve

x + 2 = 0 : x = - 2

The solution is

x = - 2

x^{4} - 3 x^{3} + x^{2} - 3 x = 0

3 x^{3} - 2 x^{2} - 7 x = 2

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

5 y^{3} + 17 y - 12 = 9 y^{2} - 9 y

4 x + 3 = x^{3} + 3 x^{2} - 9 x - 12

What are the solutions to the equation x^3+6x^2+12x+8=0 ?
The solutions to the equation x^3+6x^2+12x+8=0 are x=-2
Find the zeros of x^3+6x^2+12x+8=0
The zeros of x^3+6x^2+12x+8=0 are x=-2