What are the solutions to the equation x^3-8x^2=0 ?

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

Find the zeros of x^3-8x^2=0

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

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

x = 0, x = 8

Solution steps

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

Factor

x^{3} - 8 x^{2} : x^{2} (x - 8)

x^{2} (x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 8 = 0

Solve

x - 8 = 0 : x = 8

The solutions are

x = 0, x = 8

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

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

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

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

x^{3} - 343 = 0

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