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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 ) × (13 + 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 +
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
+
6594
625
(16 ×
99
5
+
109
5
x ) ÷ (16 + x ) × (13 + x ) = 0
    The equation is reduced to :
      -
203809
50
+
272547
1000
x +
6594
625
(16 ×
99
5
+
109
5
x ) ÷ (16 + x ) × (13 + x ) = 0
     Multiply both sides of the equation by:(16 + x )
      -
203809
50
(16 + x ) +
272547
1000
x (16 + x ) +
6594
625
(16 ×
99
5
+
109
5
x )(13 + x ) = 0
    Remove a bracket on the left of the equation:
      -
203809
50
× 16
203809
50
x +
272547
1000
x (16 + x ) +
6594
625
(16 ×
99
5
+
109
5
x )(13 + x ) = 0
    The equation is reduced to :
      -
1630472
25
203809
50
x +
272547
1000
x (16 + x ) +
6594
625
(16 ×
99
5
+
109
5
x )(13 + x ) = 0
    Remove a bracket on the left of the equation:
      -
1630472
25
203809
50
x +
272547
1000
x × 16 +
272547
1000
x x +
6594
625
(16 ×
99
5
+
109
5
x )(13 + x ) = 0
    The equation is reduced to :
      -
1630472
25
203809
50
x +
545094
125
x +
272547
1000
x x +
6594
625
(16 ×
99
5
+
109
5
x )(13 + x ) = 0
    The equation is reduced to :
      -
1630472
25
+
71143
250
x +
272547
1000
x x +
6594
625
(16 ×
99
5
+
109
5
x )(13 + x ) = 0
    Remove a bracket on the left of the equation:
      -
1630472
25
+
71143
250
x +
272547
1000
x x +
6594
625
× 16 ×
99
5
(13 + x ) +
6594
625
×
109
5
= 0
    The equation is reduced to :
      -
1630472
25
+
71143
250
x +
272547
1000
x x +
10444896
3125
(13 + x ) +
718746
3125
x (13 + x ) = 0
    Remove a bracket on the left of the equation:
      -
1630472
25
+
71143
250
x +
272547
1000
x x +
10444896
3125
× 13 +
10444896
3125
x +
718746
3125
x = 0
    The equation is reduced to :
      -
1630472
25
+
71143
250
x +
272547
1000
x x +
135783648
3125
+
10444896
3125
x +
718746
3125
x (13 + x ) = 0
    The equation is reduced to :
      -
68025352
3125
+
22668367
6250
x +
272547
1000
x x +
718746
3125
x (13 + x ) = 0
    Remove a bracket on the left of the equation:
      -
68025352
3125
+
22668367
6250
x +
272547
1000
x x +
718746
3125
x × 13 +
718746
3125
x x = 0
    The equation is reduced to :
      -
68025352
3125
+
22668367
6250
x +
272547
1000
x x +
9343698
3125
x +
718746
3125
x x = 0

    The solution of the equation:
        x1≈-15.892371 , keep 6 decimal places
        x2≈2.725565 , 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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