What are the solutions to the equation x^3-6x^2-36x=-216 ?

The solutions to the equation x^3-6x^2-36x=-216 are x=6,x=-6

Find the zeros of x^3-6x^2-36x=-216

The zeros of x^3-6x^2-36x=-216 are x=6,x=-6

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x^{3} - 6 x^{2} - 36 x = - 216

x = 6, x = - 6

Solution steps

x^{3} - 6 x^{2} - 36 x = - 216

Move

216

to the left side

x^{3} - 6 x^{2} - 36 x + 216 = 0

Factor

x^{3} - 6 x^{2} - 36 x + 216 : (x - 6)^{2} (x + 6)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or x + 6 = 0

Solve

x - 6 = 0 : x = 6

Solve

x + 6 = 0 : x = - 6

The solutions are

x = 6, x = - 6

c x^{2} + 2 x = x^{3} - c x

2 t^{3} - 3 t^{2} - 12 t - 42 = 0

4 x^{3} - 24 x^{2} + 32 x = 0

x^{3} + 2022 x^{2} = 20222022

p^{3} = 27

What are the solutions to the equation x^3-6x^2-36x=-216 ?
The solutions to the equation x^3-6x^2-36x=-216 are x=6,x=-6
Find the zeros of x^3-6x^2-36x=-216
The zeros of x^3-6x^2-36x=-216 are x=6,x=-6