What are the solutions to the equation 5x^3=-45x ?

The solutions to the equation 5x^3=-45x are x=0,x=3i,x=-3i

Find the zeros of 5x^3=-45x

The zeros of 5x^3=-45x are x=0,x=3i,x=-3i

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5 x^{3} = - 45 x

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

Solution steps

5 x^{3} = - 45 x

Move

45 x

to the left side

5 x^{3} + 45 x = 0

Factor

5 x^{3} + 45 x : 5 x (x^{2} + 9)

5 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

x^{4} - 64 = 0

8 x^{3} - 125 = 0

a^{3} = 216

6 x^{4} = 6000 x

64 j^{6} - 27 j^{9} = 0

What are the solutions to the equation 5x^3=-45x ?
The solutions to the equation 5x^3=-45x are x=0,x=3i,x=-3i
Find the zeros of 5x^3=-45x
The zeros of 5x^3=-45x are x=0,x=3i,x=-3i