What are the solutions to the equation -4x^3-16x=0 ?

The solutions to the equation -4x^3-16x=0 are x=0,x=2i,x=-2i

Find the zeros of -4x^3-16x=0

The zeros of -4x^3-16x=0 are x=0,x=2i,x=-2i

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- 4 x^{3} - 16 x = 0

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

Solution steps

- 4 x^{3} - 16 x = 0

Factor

- 4 x^{3} - 16 x : - 4 x (x^{2} + 4)

- 4 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

2 (x - x^{2}) (1 - 2 x) = 0

x^{3} + 3 x + 8 = 0

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

p^{4} + 40 = 14 p^{2}

m^{4} + m^{3} + m^{2} = 0

What are the solutions to the equation -4x^3-16x=0 ?
The solutions to the equation -4x^3-16x=0 are x=0,x=2i,x=-2i
Find the zeros of -4x^3-16x=0
The zeros of -4x^3-16x=0 are x=0,x=2i,x=-2i