What are the solutions to the equation 3x^3-27x^2=0 ?

The solutions to the equation 3x^3-27x^2=0 are x=0,x=9

Find the zeros of 3x^3-27x^2=0

The zeros of 3x^3-27x^2=0 are x=0,x=9

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3 x^{3} - 27 x^{2} = 0

x = 0, x = 9

Solution steps

3 x^{3} - 27 x^{2} = 0

Factor

3 x^{3} - 27 x^{2} : 3 x^{2} (x - 9)

3 x^{2} (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 9 = 0

Solve

x - 9 = 0 : x = 9

The solutions are

x = 0, x = 9

x, 135 = 5 x^{3}

y, x = (y - 2)^{3} + 1

y, x = (y - 2)^{3} + 2

24 = x (x^{2} - 12 x + 48)

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

What are the solutions to the equation 3x^3-27x^2=0 ?
The solutions to the equation 3x^3-27x^2=0 are x=0,x=9
Find the zeros of 3x^3-27x^2=0
The zeros of 3x^3-27x^2=0 are x=0,x=9