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

x^{12} = 5000

4 x^{4} + 15 x^{2} - 4 = 0

5 x^{3} - 9 x + 4 = 0

2 x^{5} = 25

z^{6} + 3 z^{3} - 4 = 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