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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*3.77*(50*8.5+75x)+1.13*(0.8*0.85*(550+6*(12*18.8+21.5x)*(9+x)/(12+x) ) ) = 6765.49+3.958x .
    Question type: Equation
    Solution:Original question:
     
1
2
×
377
100
(50 ×
17
2
+ 75 x ) +
113
100
(
4
5
×
17
20
(550 + 6(12 ×
94
5
+
43
2
x )(9 + x ) ÷ (12 + x ))) =
676549
100
+
1979
500
x
    Remove a bracket on the left of the equation::
     
1
2
×
377
100
× 50 ×
17
2
+
1
2
×
377
100
× 75 x +
113
100
(
4
5
×
17
20
(550 + 6(12 ×
94
5
+
43
2
x )(9 + x ) ÷ (12 + x ))) =
676549
100
+
1979
500
x
    The equation is reduced to :
     
6409
8
+
1131
8
x +
113
100
(
4
5
×
17
20
(550 + 6(12 ×
94
5
+
43
2
x )(9 + x ) ÷ (12 + x ))) =
676549
100
+
1979
500
x
    Remove a bracket on the left of the equation:
     
6409
8
+
1131
8
x +
113
100
×
4
5
×
17
20
(550 + 6(12 ×
94
5
+
43
2
x )(9 + x ) ÷ (12 + x )) =
676549
100
+
1979
500
x
    The equation is reduced to :
     
6409
8
+
1131
8
x +
1921
2500
(550 + 6(12 ×
94
5
+
43
2
x )(9 + x ) ÷ (12 + x )) =
676549
100
+
1979
500
x
    Remove a bracket on the left of the equation:
     
6409
8
+
1131
8
x +
1921
2500
× 550 +
1921
2500
× 6(12 ×
94
5
+
43
2
x )(9 + x ) ÷ (12 + x ) =
676549
100
+
1979
500
x
    The equation is reduced to :
     
6409
8
+
1131
8
x +
21131
50
+
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) ÷ (12 + x ) =
676549
100
+
1979
500
x
    The equation is reduced to :
     
244749
200
+
1131
8
x +
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) ÷ (12 + x ) =
676549
100
+
1979
500
x
     Multiply both sides of the equation by:(12 + x )
     
244749
200
(12 + x ) +
1131
8
x (12 + x ) +
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) =
676549
100
(12 + x ) +
1979
500
x (12 + x )
    Remove a bracket on the left of the equation:
     
244749
200
× 12 +
244749
200
x +
1131
8
x (12 + x ) +
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) =
676549
100
(12 + x ) +
1979
500
x (12 + x )
    Remove a bracket on the right of the equation::
     
244749
200
× 12 +
244749
200
x +
1131
8
x (12 + x ) +
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) =
676549
100
× 12 +
676549
100
x +
1979
500
x (12 + x )
    The equation is reduced to :
     
734247
50
+
244749
200
x +
1131
8
x (12 + x ) +
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) =
2029647
25
+
676549
100
x +
1979
500
x (12 + x )
    Remove a bracket on the left of the equation:
     
734247
50
+
244749
200
x +
1131
8
x × 12 +
1131
8
x x +
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) =
2029647
25
+
676549
100
x +
1979
500
x (12 + x )
    Remove a bracket on the right of the equation::
     
734247
50
+
244749
200
x +
1131
8
x × 12 +
1131
8
x x +
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) =
2029647
25
+
676549
100
x +
1979
500
x × 12 +
1979
500
x x
    The equation is reduced to :
     
734247
50
+
244749
200
x +
3393
2
x +
1131
8
x x +
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) =
2029647
25
+
676549
100
x +
5937
125
x +
1979
500
x x
    The equation is reduced to :
     
734247
50
+
584049
200
x +
1131
8
x x +
5763
1250
(12 ×
94
5
+
43
2
x )(9 + x ) =
2029647
25
+
3406493
500
x +
1979
500
x x
    Remove a bracket on the left of the equation:
     
734247
50
+
584049
200
x +
1131
8
x x +
5763
1250
× 12 ×
94
5
(9 + x ) +
5763
1250
×
43
2
=
2029647
25
+
3406493
500
x +
1979
500
x x
    The equation is reduced to :
     
734247
50
+
584049
200
x +
1131
8
x x +
3250332
3125
(9 + x ) +
247809
2500
x (9 + x ) =
2029647
25
+
3406493
500
x +
1979
500
x x
    Remove a bracket on the left of the equation:
     
734247
50
+
584049
200
x +
1131
8
x x +
3250332
3125
× 9 +
3250332
3125
x +
247809
2500
x =
2029647
25
+
3406493
500
x +
1979
500
x x
    The equation is reduced to :
     
734247
50
+
584049
200
x +
1131
8
x x +
29252988
3125
+
3250332
3125
x +
247809
2500
x (9 + x ) =
2029647
25
+
3406493
500
x +
1979
500
x x
    The equation is reduced to :
     
150286851
6250
+
99008781
25000
x +
1131
8
x x +
247809
2500
x (9 + x ) =
2029647
25
+
3406493
500
x +
1979
500
x x
    Remove a bracket on the left of the equation:
     
150286851
6250
+
99008781
25000
x +
1131
8
x x +
247809
2500
x × 9 +
247809
2500
x x =
2029647
25
+
3406493
500
x +
1979
500
x x
    The equation is reduced to :
     
150286851
6250
+
99008781
25000
x +
1131
8
x x +
2230281
2500
x +
247809
2500
x x =
2029647
25
+
3406493
500
x +
1979
500
x x

    The solution of the equation:
        x1≈-11.941218 , keep 6 decimal places
        x2≈20.229530 , 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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