What are the solutions to the equation x^5-4x^4-12x^3=0 ?

The solutions to the equation x^5-4x^4-12x^3=0 are x=0,x=-2,x=6

Find the zeros of x^5-4x^4-12x^3=0

The zeros of x^5-4x^4-12x^3=0 are x=0,x=-2,x=6

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x^{5} - 4 x^{4} - 12 x^{3} = 0

x = 0, x = - 2, x = 6

Solution steps

x^{5} - 4 x^{4} - 12 x^{3} = 0

Factor

x^{5} - 4 x^{4} - 12 x^{3} : x^{3} (x + 2) (x - 6)

x^{3} (x + 2) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 6 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = - 2, x = 6

x^{3} - 21 x - 90 = 0

x^{16} = 80000

x, x^{3} + y^{2} = 64

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

x^{3} + x^{2} - 4.99 x + 3.03 = 0

What are the solutions to the equation x^5-4x^4-12x^3=0 ?
The solutions to the equation x^5-4x^4-12x^3=0 are x=0,x=-2,x=6
Find the zeros of x^5-4x^4-12x^3=0
The zeros of x^5-4x^4-12x^3=0 are x=0,x=-2,x=6