What are the solutions to the equation -5x^3=180x ?

The solutions to the equation -5x^3=180x are x=0,x=6i,x=-6i

Find the zeros of -5x^3=180x

The zeros of -5x^3=180x are x=0,x=6i,x=-6i

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- 5 x^{3} = 180 x

x = 0, x = 6 i, x = - 6 i

Solution steps

- 5 x^{3} = 180 x

Move

180 x

to the left side

- 5 x^{3} - 180 x = 0

Factor

- 5 x^{3} - 180 x : - 5 x (x^{2} + 36)

- 5 x (x^{2} + 36) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 36 = 0

Solve

x^{2} + 36 = 0 : x = 6 i, x = - 6 i

The solutions are

x = 0, x = 6 i, x = - 6 i

4 x^{3} + 12 x^{2} + 8 x = 0

x^{5} + 2 = 0

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

x (x + 2) (x + 4) (x + 6) = 3465

16 x^{3} + 96 x^{2} - x - 6 = 0

What are the solutions to the equation -5x^3=180x ?
The solutions to the equation -5x^3=180x are x=0,x=6i,x=-6i
Find the zeros of -5x^3=180x
The zeros of -5x^3=180x are x=0,x=6i,x=-6i