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    Work: Find the solution of equation （x-5/2）（3-x） = 0 .
    Question type: Equation
    Solution:Original question:

(

x

−

5

÷

2

)

(

3

−

x

)

=

0

    Remove the bracket on the left of the equation:

Left side of the equation =

x

(

3

−

x

)

−

5

÷

2

×

(

3

−

x

)

=

x

(

3

−

x

)

−

5 2

(

3

−

x

)

=

x

×

3

−

x

x

−

5 2

(

3

−

x

)

=

3

x

−

x

x

−

5 2

×

3

+

5 2

x

=

3

x

−

x

x

−

15 2

+

5 2

x

=

11 2

x

−

x

x

−

15 2

    The equation is transformed into :

11 2

x

−

x

x

−

15 2

=

0

    After the equation is converted into a general formula, it is converted into:
    ( 2x - 5 )( x - 3 )=0
    From
        2x - 5 = 0
        x - 3 = 0
    it is concluded that:：

x1=

5 2

x2=3

    
    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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