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

(

x

+

6

)

(

-

x

+

1

)

=

0

    Remove the bracket on the left of the equation:

Left side of the equation =

x

(

-

x

+

1

)

+

6

(

-

x

+

1

)

=

-

x

x

+

x

×

1

+

6

(

-

x

+

1

)

=

-

x

x

+

1

x

−

6

x

+

6

×

1

=

-

x

x

+

1

x

−

6

x

+

6

=

-

x

x

−

5

x

+

6

    The equation is transformed into :

-

x

x

−

5

x

+

6

=

0

    After the equation is converted into a general formula, it is converted into:
    ( x + 6 )( x - 1 )=0
    From
        x + 6 = 0
        x - 1 = 0
    it is concluded that:：
        x₁=-6
        x₂=1    
    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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