What are the solutions to the equation x^3-5x^2-24x=0 ?

The solutions to the equation x^3-5x^2-24x=0 are x=0,x=-3,x=8

Find the zeros of x^3-5x^2-24x=0

The zeros of x^3-5x^2-24x=0 are x=0,x=-3,x=8

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x^{3} - 5 x^{2} - 24 x = 0

x = 0, x = - 3, x = 8

Solution steps

x^{3} - 5 x^{2} - 24 x = 0

Factor

x^{3} - 5 x^{2} - 24 x : x (x + 3) (x - 8)

x (x + 3) (x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x - 8 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 8 = 0 : x = 8

The solutions are

x = 0, x = - 3, x = 8

x^{3} - 5 x^{2} - 2 x + 24 = 0

x^{4} - 19 x^{2} + 48 = 0

x^{3} + x = 2

27 x^{3} - 64 = 0

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

What are the solutions to the equation x^3-5x^2-24x=0 ?
The solutions to the equation x^3-5x^2-24x=0 are x=0,x=-3,x=8
Find the zeros of x^3-5x^2-24x=0
The zeros of x^3-5x^2-24x=0 are x=0,x=-3,x=8