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    Work: Find the solution of equation （X－20）（－2X＋80） = 150 .
    Question type: Equation
    Solution:Original question:

(

X

−

20

)

(

-

2

X

+

80

)

=

150

    Remove the bracket on the left of the equation:

Left side of the equation =

X

(

-

2

X

+

80

)

−

20

(

-

2

X

+

80

)

=

-

X

×

2

X

+

X

×

80

−

20

(

-

2

X

+

80

)

=

-

X

×

2

X

+

80

X

+

20

×

2

X

−

20

×

80

=

-

X

×

2

X

+

80

X

+

40

X

−

1600

=

-

X

×

2

X

+

120

X

−

1600

    The equation is transformed into :

-

X

×

2

X

+

120

X

−

1600

=

150

    After the equation is converted into a general formula, it is converted into:
    ( X - 25 )( X - 35 )=0
    From
        X - 25 = 0
        X - 35 = 0
    it is concluded that:：
        X₁=25
        X₂=35    
    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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