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current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation （17-5）*8a+（300-8a-20）*（16-0.1a-5） = 2980 .
    Question type: Equation
    Solution:Original question:
     (17 − 5) × 8 a + (300 − 8 a − 20)(16 −
1
10
 a − 5) = 2980
    Remove the bracket on the left of the equation:
     Left side of the equation = 17 × 8 a − 5 × 8 a + (300 − 8 a − 20)(16 −
1
10
 a − 5)
                                             = 136 a − 40 a + (300 − 8 a − 20)(16 −
1
10
 a − 5)
                                             = 96 a + (300 − 8 a − 20)(16 −
1
10
 a − 5)
                                             = 96 a + 300(16 −
1
10
 a − 5) − 8 a (16 −
1
10
 a − 5) − 20(16 −
1
10
 a − 5)
                                             = 96 a + 300 × 16 − 300 ×
1
10
 a − 300 × 5 − 8 a (16 −
1
10
 a − 5)
                                             = 96 a + 4800 − 30 a − 1500 − 8 a (16 −
1
10
 a − 5) − 20(16 −
1
10
 a − 5)
                                             = 66 a + 3300 − 8 a (16 −
1
10
 a − 5) − 20(16 −
1
10
 a − 5)
                                             = 66 a + 3300 − 8 a × 16 + 8 a ×
1
10
 a + 8 a
                                             = 66 a + 3300 − 128 a +
4
5
 a a + 40 a − 20(16 −
1
10
 a − 5)
                                             = - 22 a + 3300 +
4
5
 a a − 20(16 −
1
10
 a − 5)
                                             = - 22 a + 3300 +
4
5
 a a − 20 × 16 + 20 ×
1
10
 a + 20
                                             = - 22 a + 3300 +
4
5
 a a − 320 + 2 a + 100
                                             = - 20 a + 3080 +
4
5
 a a
    The equation is transformed into :
      - 20 a + 3080 +
4
5
 a a = 2980

    The solution of the equation:
        a1≈6.909830 , keep 6 decimal places
        a2≈18.090170 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》



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