(x - 4)(2x - 1)(3x - 2) = 0 What is the product of all values of x that satisfy the equation above?

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0

, the entire expression will be equal to  

0

.

2

x

−

1

=

0

3

x

+

2

=

0

Set the first factor equal to  

0

and solve.

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x

=

1

2

Set the next factor equal to  

0

and solve.

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x

=

−

2

3

The final solution is all the values that make  

(

2

x

−

1

)

(

3

x

+

2

)

=

0

true.

x

=

1

2

,

−

2

3

The result can be shown in multiple forms.

Exact Form:

x

=

1

2

,

−

2

3

Decimal Form:

x

=

0.5

,

−

0.

¯

6

3x^3-x^2+6x-9