What are the solutions to the equation x^3+3x^2-36x-108=0 ?

The solutions to the equation x^3+3x^2-36x-108=0 are x=-3,x=-6,x=6

Find the zeros of x^3+3x^2-36x-108=0

The zeros of x^3+3x^2-36x-108=0 are x=-3,x=-6,x=6

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x^{3} + 3 x^{2} - 36 x - 108 = 0

x = - 3, x = - 6, x = 6

Solution steps

x^{3} + 3 x^{2} - 36 x - 108 = 0

Factor

x^{3} + 3 x^{2} - 36 x - 108 : (x + 3) (x + 6) (x - 6)

(x + 3) (x + 6) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 3 = 0 or x + 6 = 0 or x - 6 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x + 6 = 0 : x = - 6

Solve

x - 6 = 0 : x = 6

The solutions are

x = - 3, x = - 6, x = 6

17 + x^{3} = x^{2} + 17

4 x^{3} = 32

3 x^{6} - x^{4} - 12 x^{2} + 4 = 0

m^{3} + 3 m^{2} - 4 m - 12 = 0

16 x^{3} - 48 x^{2} - 25 x + 75 = 0

What are the solutions to the equation x^3+3x^2-36x-108=0 ?
The solutions to the equation x^3+3x^2-36x-108=0 are x=-3,x=-6,x=6
Find the zeros of x^3+3x^2-36x-108=0
The zeros of x^3+3x^2-36x-108=0 are x=-3,x=-6,x=6