What are the solutions to the equation 12x^3-24x^2+12x=0 ?

The solutions to the equation 12x^3-24x^2+12x=0 are x=0,x=1

Find the zeros of 12x^3-24x^2+12x=0

The zeros of 12x^3-24x^2+12x=0 are x=0,x=1

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12 x^{3} - 24 x^{2} + 12 x = 0

x = 0, x = 1

Solution steps

12 x^{3} - 24 x^{2} + 12 x = 0

Factor

12 x^{3} - 24 x^{2} + 12 x : 12 x (x - 1)^{2}

12 x (x - 1)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = 1

(z^{2} + 7)^{2} = 0

15 x^{3} + 6 x^{2} - 10 x - 4 = 0

x^{3} - 11 x + 150 = 0

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

y^{3} + 4 y^{2} - 25 y - 100 = 0

What are the solutions to the equation 12x^3-24x^2+12x=0 ?
The solutions to the equation 12x^3-24x^2+12x=0 are x=0,x=1
Find the zeros of 12x^3-24x^2+12x=0
The zeros of 12x^3-24x^2+12x=0 are x=0,x=1