What are the solutions to the equation 6x^3=-54x ?

The solutions to the equation 6x^3=-54x are x=0,x=3i,x=-3i

Find the zeros of 6x^3=-54x

The zeros of 6x^3=-54x are x=0,x=3i,x=-3i

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6 x^{3} = - 54 x

x = 0, x = 3 i, x = - 3 i

Solution steps

6 x^{3} = - 54 x

Move

54 x

to the left side

6 x^{3} + 54 x = 0

Factor

6 x^{3} + 54 x : 6 x (x^{2} + 9)

6 x (x^{2} + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 9 = 0

Solve

x^{2} + 9 = 0 : x = 3 i, x = - 3 i

The solutions are

x = 0, x = 3 i, x = - 3 i

g, m + n^{2} = g^{5} Q

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

x^{3} + 5 = 14

9 x^{3} - 42 x^{3} 64 x^{2} - 32 x = 0

x^{5} + 3 x^{2} - 8 = 0

What are the solutions to the equation 6x^3=-54x ?
The solutions to the equation 6x^3=-54x are x=0,x=3i,x=-3i
Find the zeros of 6x^3=-54x
The zeros of 6x^3=-54x are x=0,x=3i,x=-3i