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Mathematical calculation：
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    It supports mathematical functions (including trigonometric functions).
    Current location：Mathematical operation > History of Mathematical Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation （4-4/5m*m+24/5m-4）*5-10-m（4-4/5m*m+24/5m-4）/2-（5-m）（4-4/5m*m+24/5m-4）/2 = 0 .
    Question type: Equation
    Solution:Original question:
     (4 − 4 ÷ 5 × m m + 24 ÷ 5 × m − 4) × 5 − 10 − m (4 − 4 ÷ 5 × m m + 24 ÷ 5 × m − 4) ÷ 2 − (5 − m )(4 − 4 ÷ 5 × m m + 24 ÷ 5 × m − 4) ÷ 2 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 4 × 5 − 4 ÷ 5 × m m × 5 + 24 ÷ 5 × m × 5 − 4
                                             = 20 − 4 m m + 24 m − 20 − 10 − m (4 − 4 ÷ 5 × m m + 24 ÷ 5 × m − 4) ×
1
2
 − (5 − m )
                                             = - 10 − 4 m m + 24 m − m (4 − 4 ÷ 5 × m m + 24 ÷ 5 × m − 4) ×
1
2
 − (5 − m )(4 − 4 ÷ 5 × m m + 24 ÷ 5 × m − 4) ×
1
2
                                             = - 10 − 4 m m + 24 m − m × 4 ×
1
2
 + m × 4 ÷ 5
                                             = - 10 − 4 m m + 24 m − m × 2 + m ×
2
5
 m m
                                             = - 10 − 4 m m + 24 m + m ×
2
5
 m m − m ×
12
5
                                             = - 10 − 4 m m + 24 m + m ×
2
5
 m m − m ×
12
5
                                             = - 10 − 4 m m + 24 m + m ×
2
5
 m m − m ×
12
5
                                             = - 10 − 4 m m + 24 m + m ×
2
5
 m m − m ×
12
5
                                             = - 10 − 4 m m + 24 m + m ×
2
5
 m m − m ×
12
5
                                             = - 10 − 4 m m + 12 m + m ×
2
5
 m m − m ×
12
5
                                             = - 10 − 4 m m + 12 m + m ×
2
5
 m m − m ×
12
5
                                             = - 10 − 4 m m + 12 m + m ×
2
5
 m m − m ×
12
5
                                             = - 10 − 4 m m + 12 m + m ×
2
5
 m m − m ×
12
5
    The equation is transformed into :
      - 10 − 4 m m + 12 m + m ×
2
5
 m m − m ×
12
5
 = 0

    After the equation is converted into a general formula, it is converted into:
    ( m - 1 )( m - 5 )=0
    From
        m - 1 = 0
        m - 5 = 0
    it is concluded that:：
        m1=1
        m2=5    
    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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