What are the solutions to the equation x^3+12x^2+36x=0 ?

The solutions to the equation x^3+12x^2+36x=0 are x=0,x=-6

Find the zeros of x^3+12x^2+36x=0

The zeros of x^3+12x^2+36x=0 are x=0,x=-6

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x^{3} + 12 x^{2} + 36 x = 0

x = 0, x = - 6

Solution steps

x^{3} + 12 x^{2} + 36 x = 0

Factor

x^{3} + 12 x^{2} + 36 x : x (x + 6)^{2}

x (x + 6)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 6 = 0

Solve

x + 6 = 0 : x = - 6

The solutions are

x = 0, x = - 6

x^{4} - 13 x^{2} = - 36

y^{3} + 3 y^{2} = 16 y + 48

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

3 x^{3} - 4 x^{2} + 75 x - 100 = 0

x^{4} + x - 1 = 0

What are the solutions to the equation x^3+12x^2+36x=0 ?
The solutions to the equation x^3+12x^2+36x=0 are x=0,x=-6
Find the zeros of x^3+12x^2+36x=0
The zeros of x^3+12x^2+36x=0 are x=0,x=-6