What are the solutions to the equation 3x^3=-12x ?

The solutions to the equation 3x^3=-12x are x=0,x=2i,x=-2i

Find the zeros of 3x^3=-12x

The zeros of 3x^3=-12x are x=0,x=2i,x=-2i

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3 x^{3} = - 12 x

x = 0, x = 2 i, x = - 2 i

Solution steps

3 x^{3} = - 12 x

Move

12 x

to the left side

3 x^{3} + 12 x = 0

Factor

3 x^{3} + 12 x : 3 x (x^{2} + 4)

3 x (x^{2} + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{2} + 4 = 0 : x = 2 i, x = - 2 i

The solutions are

x = 0, x = 2 i, x = - 2 i

6 x^{3} - 5 x^{2} + 7 x - 2 = 0

4 x^{4} + 21 x^{2} - 18 = 0

x^{8} = 1

x^{3} - 2 x^{2} + 4 x - 8 = 0

3 x^{3} - 19 x^{2} - 14 x = 0

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