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

The solutions to the equation x^4+4x^3=0 are x=0,x=-4

Find the zeros of x^4+4x^3=0

The zeros of x^4+4x^3=0 are x=0,x=-4

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x^{4} + 4 x^{3} = 0

x = 0, x = - 4

Solution steps

x^{4} + 4 x^{3} = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 4 = 0

Solve

x + 4 = 0 : x = - 4

The solutions are

x = 0, x = - 4

5 x^{3} + 27 x^{2} - 11 x + 5

x^{5} - x^{4} - x^{3} + x^{2} - 2 x + 2 = 0

3 x^{4} + 4 x^{3} + 6 x - 4 = 0

n^{3} - 9 n^{2} - n + 9 = 0

y, 4 x^{3} - 16 y = 4 y^{3} - 16 x

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