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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation （x－3）（x－6）（x－4）（－x－2） = 0 .
    Question type: Equation
    Solution:Original question:

(

x

−

3

)

(

x

−

6

)

(

x

−

4

)

(

-

x

−

2

)

=

0

    Remove the bracket on the left of the equation:

Left side of the equation =

x

(

x

−

6

)

(

x

−

4

)

(

-

x

−

2

)

−

3

(

x

−

6

)

(

x

−

4

)

(

-

x

−

2

)

=

x

x

(

x

−

4

)

(

-

x

−

2

)

−

x

×

6

(

x

−

4

)

(

-

x

−

2

)

−

3

(

x

−

6

)

(

x

−

4

)

(

-

x

−

2

)

=

x

x

x

(

-

x

−

2

)

−

x

x

×

4

(

-

x

−

2

)

−

x

×

6

(

x

−

4

)

(

-

x

−

2

)

=

-

x

x

x

x

−

x

x

x

×

2

−

x

x

×

4

(

-

x

−

2

)

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

=

-

x

x

x

x

−

x

x

x

×

2

+

x

x

×

4

x

    After the equation is converted into a general formula, it is converted into:
    ( x + 2 )( x - 3 )( x - 4 )( x - 6 )=0
    From
        x + 2 = 0
        x - 3 = 0
        x - 4 = 0
        x - 6 = 0
    it is concluded that:：
        x₁=-2
        x₂=3
        x₃=4
        x₄=6    
    There are 4 solution(s).

解程的详细方法请参阅：《方程的解法》

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