What are the solutions to the equation 6x^3-12x^2+6x=0 ?

The solutions to the equation 6x^3-12x^2+6x=0 are x=0,x=1

Find the zeros of 6x^3-12x^2+6x=0

The zeros of 6x^3-12x^2+6x=0 are x=0,x=1

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6 x^{3} - 12 x^{2} + 6 x = 0

x = 0, x = 1

Solution steps

6 x^{3} - 12 x^{2} + 6 x = 0

Factor

6 x^{3} - 12 x^{2} + 6 x : 6 x (x - 1)^{2}

6 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

500 \cdot b^{3} = 10

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

36 x - 24 x^{2} + 4 x^{3} = 0

x^{3} - x^{2} + x + 39 = 0

t^{3} - 8 = 0

What are the solutions to the equation 6x^3-12x^2+6x=0 ?
The solutions to the equation 6x^3-12x^2+6x=0 are x=0,x=1
Find the zeros of 6x^3-12x^2+6x=0
The zeros of 6x^3-12x^2+6x=0 are x=0,x=1