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current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation -9*[-5.7-2.5+x/2]*(5-x) = 64000*0.3x .
    Question type: Equation
    Solution:Original question:
      - 9( -
57
10
5
2
+ x ÷ 2)(5 x ) = 64000 ×
3
10
x
    Remove the bracket on the left of the equation:
     Left side of the equation = 9 ×
57
10
(5 x ) + 9 ×
5
2
(5 x )9 x ÷ 2 × (5 x )
                                             =
513
10
(5 x ) +
45
2
(5 x )
9
2
x (5 x )
                                             =
513
10
× 5
513
10
x +
45
2
(5 x )
9
2
x (5 x )
                                             =
513
2
513
10
x +
45
2
(5 x )
9
2
x (5 x )
                                             =
513
2
513
10
x +
45
2
× 5
45
2
x
9
2
x (5 x )
                                             =
513
2
513
10
x +
225
2
45
2
x
9
2
x (5 x )
                                             = 369
369
5
x
9
2
x (5 x )
                                             = 369
369
5
x
9
2
x × 5 +
9
2
x x
                                             = 369
369
5
x
45
2
x +
9
2
x x
                                             = 369
963
10
x +
9
2
x x
    The equation is transformed into :
     369
963
10
x +
9
2
x x = 64000 ×
3
10
x
     Right side of the equation = 19200 x
    The equation is transformed into :
     369
963
10
x +
9
2
x x = 19200 x

    
        x≈0.019123 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》




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