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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 0.5×6.28×(55×12+90x)+3.14×0.8×0.7×(500+6×(16×19.8+21.8x)÷(16+x))×(13+x)-7027.78-10.053x = 0 .
    Question type: Equation
    Solution:Original question:
     
1
2
 ×
157
25
(55 × 12 + 90 x ) +
157
50
 ×
4
5
 ×
7
10
(500 + 6(16 ×
99
5
 +
109
5
 x ) ÷ (16 + x ))(13 + x ) −
351389
50
 −
10053
1000
 x = 0
    Remove a bracket on the left of the equation:：
     
1
2
 ×
157
25
 × 55 × 12 +
1
2
 ×
157
25
 × 90 x +
157
50
 ×
4
5
 ×
7
10
(500 + 6(16 ×
99
5
 +
109
5
 x ) ÷ (16 + x )) = 0
    The equation is reduced to :
     
10362
5
 +
1413
5
 x +
1099
625
(500 + 6(16 ×
99
5
 +
109
5
 x ) ÷ (16 + x ))(13 + x ) −
351389
50
 −
10053
1000
 x = 0
    The equation is reduced to :
      -
247769
50
 +
272547
1000
 x +
1099
625
(500 + 6(16 ×
99
5
 +
109
5
 x ) ÷ (16 + x ))(13 + x ) = 0
    Remove a bracket on the left of the equation:
      -
247769
50
 +
272547
1000
 x +
1099
625
 × 500(13 + x ) +
1099
625
 × 6(16 ×
99
5
 +
109
5
 x ) ÷ (16 + x ) × (13 + x ) = 0
    The equation is reduced to :
      -
247769
50
 +
272547
1000
 x +
4396
5
(13 + x ) +
6594
625
(16 ×
99
5
 +
109
5
 x ) ÷ (16 + x ) × (13 + x ) = 0
     Multiply both sides of the equation by:(16 + x )
      -
247769
50
(16 + x ) +
272547
1000
 x (16 + x ) +
4396
5
(13 + x )(16 + x ) +
6594
625
(16 ×
99
5
 +
109
5
 x )(13 + x ) = 0
    Remove a bracket on the left of the equation:
      -
247769
50
 × 16 −
247769
50
 x +
272547
1000
 x (16 + x ) +
4396
5
(13 + x )(16 + x ) +
6594
625
(16 ×
99
5
 +
109
5
 x ) = 0
    The equation is reduced to :
      -
1982152
25
 −
247769
50
 x +
272547
1000
 x (16 + x ) +
4396
5
(13 + x )(16 + x ) +
6594
625
(16 ×
99
5
 +
109
5
 x )(13 + x ) = 0
    Remove a bracket on the left of the equation:
      -
1982152
25
 −
247769
50
 x +
272547
1000
 x × 16 +
272547
1000
 x x +
4396
5
(13 + x )(16 + x ) = 0
    The equation is reduced to :
      -
1982152
25
 −
247769
50
 x +
545094
125
 x +
272547
1000
 x x +
4396
5
(13 + x )(16 + x ) +
6594
625
 = 0
    The equation is reduced to :
      -
1982152
25
 −
148657
250
 x +
272547
1000
 x x +
4396
5
(13 + x )(16 + x ) +
6594
625
(16 ×
99
5
 +
109
5
 x )(13 + x ) = 0
    Remove a bracket on the left of the equation:
      -
1982152
25
 −
148657
250
 x +
272547
1000
 x x +
4396
5
 × 13(16 + x ) +
4396
5
 x (16 + x ) = 0
    The equation is reduced to :
      -
1982152
25
 −
148657
250
 x +
272547
1000
 x x +
57148
5
(16 + x ) +
4396
5
 x (16 + x ) +
6594
625
 = 0
    Remove a bracket on the left of the equation:
      -
1982152
25
 −
148657
250
 x +
272547
1000
 x x +
57148
5
 × 16 +
57148
5
 x +
4396
5
 x = 0
    The equation is reduced to :
      -
1982152
25
 −
148657
250
 x +
272547
1000
 x x +
914368
5
 +
57148
5
 x +
4396
5
 x (16 + x ) = 0
    The equation is reduced to :
     
2589688
25
 +
2708743
250
 x +
272547
1000
 x x +
4396
5
 x (16 + x ) +
6594
625
(16 ×
99
5
 +
109
5
 x )(13 + x ) = 0
    Remove a bracket on the left of the equation:
     
2589688
25
 +
2708743
250
 x +
272547
1000
 x x +
4396
5
 x × 16 +
4396
5
 x x = 0
    The equation is reduced to :
     
2589688
25
 +
2708743
250
 x +
272547
1000
 x x +
70336
5
 x +
4396
5
 x x +
6594
625
 = 0
    The equation is reduced to :
     
2589688
25
 +
6225543
250
 x +
272547
1000
 x x +
4396
5
 x x +
6594
625
(16 ×
99
5
 +
109
5
 x )(13 + x ) = 0
    Remove a bracket on the left of the equation:
     
2589688
25
 +
6225543
250
 x +
272547
1000
 x x +
4396
5
 x x +
6594
625
 × 16 ×
99
5
 = 0
    The equation is reduced to :
     
2589688
25
 +
6225543
250
 x +
272547
1000
 x x +
4396
5
 x x +
10444896
3125
(13 + x ) +
718746
3125
 = 0
    Remove a bracket on the left of the equation:
     
2589688
25
 +
6225543
250
 x +
272547
1000
 x x +
4396
5
 x x +
10444896
3125
 × 13 +
10444896
3125
 = 0
    The equation is reduced to :
     
2589688
25
 +
6225543
250
 x +
272547
1000
 x x +
4396
5
 x x +
135783648
3125
 +
10444896
3125
 x = 0

    The solution of the equation:
        x1≈-15.921318 , keep 6 decimal places
        x2≈-6.683797 , 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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