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

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

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

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

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

x = 0, x = 1

Solution steps

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

Switch sides

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

Factor

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

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

y^{3} + 5 y^{2} - 49 y - 245 = 0

x^{3} + 6 x^{2} - 9 x + 4 = 0

y, y^{3} = x^{3} - 9 x

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

x^{4} - 4 x^{2} + 5 = 0 - 1

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