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    Work: Find the solution of equation （18-2x）（9-2x-x） = 96 .
    Question type: Equation
    Solution:Original question:

(

18

−

2

x

)

(

9

−

2

x

−

x

)

=

96

    Remove the bracket on the left of the equation:

Left side of the equation =

18

(

9

−

2

x

−

x

)

−

2

x

(

9

−

2

x

−

x

)

=

18

×

9

−

18

×

2

x

−

18

x

−

2

x

(

9

−

2

x

−

x

)

=

162

−

36

x

−

18

x

−

2

x

(

9

−

2

x

−

x

)

=

162

−

54

x

−

2

x

(

9

−

2

x

−

x

)

=

162

−

54

x

−

2

x

×

9

+

2

x

×

2

x

+

2

x

=

162

−

54

x

−

18

x

+

4

x

x

+

2

x

x

=

162

−

72

x

+

4

x

x

+

2

x

x

    The equation is transformed into :

162

−

72

x

+

4

x

x

+

2

x

x

=

96

    After the equation is converted into a general formula, it is converted into:
    ( x - 1 )( x - 11 )=0
    From
        x - 1 = 0
        x - 11 = 0
    it is concluded that:：
        x₁=1
        x₂=11    
    There are 2 solution(s).

解一元二次方程的详细方法请参阅：《一元二次方程的解法》

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