What are the solutions to the equation x^3+27+x^2-6x-27=0 ?

The solutions to the equation x^3+27+x^2-6x-27=0 are x=0,x=2,x=-3

Find the zeros of x^3+27+x^2-6x-27=0

The zeros of x^3+27+x^2-6x-27=0 are x=0,x=2,x=-3

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x^{3} + 27 + x^{2} - 6 x - 27 = 0

x = 0, x = 2, x = - 3

Solution steps

x^{3} + 27 + x^{2} - 6 x - 27 = 0

Move

27

to the right side

x^{3} + x^{2} - 6 x - 27 = - 27

Move

27

to the right side

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

Factor

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

x (x - 2) (x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or x + 3 = 0

Solve

x - 2 = 0 : x = 2

Solve

x + 3 = 0 : x = - 3

The solutions are

x = 0, x = 2, x = - 3

7 = x^{3} - 1

- x^{3} + 5 x^{2} - 5 x - 1 = 0

x, x^{3} = - 8

2 x^{9} x = 162

9 p^{2} - 4 p^{3} = 0

What are the solutions to the equation x^3+27+x^2-6x-27=0 ?
The solutions to the equation x^3+27+x^2-6x-27=0 are x=0,x=2,x=-3
Find the zeros of x^3+27+x^2-6x-27=0
The zeros of x^3+27+x^2-6x-27=0 are x=0,x=2,x=-3