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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.
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 （103.85+（x-3000）/（5000-3000）*（163.9-103.85）*1*1*1.5 ) = 3615-x .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （103.85+（x-3000）/（5000-3000）*（163.9-103.85）*1*1*1.5 ) = 3615-x .
Question type: Equation
Solution:Original question:
| ( | 2077 20 | + | ( | x | − | 3000 | ) | ÷ | ( | 5000 | − | 3000 | ) | × | ( | 1639 10 | − | 2077 20 | ) | × | 1 | × | 1 | × | 3 2 | ) | = | 3615 | − | x |
2077 20 | + | ( | x | − | 3000 | ) | ÷ | ( | 5000 | − | 3000 | ) | × | ( | 1639 10 | − | 2077 20 | ) | × | 1 | × | 1 | × | 3 2 | = | 3615 | − | x |
2077 20 | + | ( | x | − | 3000 | ) | ÷ | ( | 5000 | − | 3000 | ) | × | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | = | 3615 | − | x |
| Multiply both sides of the equation by: | ( | 5000 | − | 3000 | ) |
2077 20 | ( | 5000 | − | 3000 | ) | + | ( | x | − | 3000 | ) | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | = | 3615 | ( | 5000 | − | 3000 | ) | − | x | ( | 5000 | − | 3000 | ) |
2077 20 | × | 5000 | − | 2077 20 | × | 3000 | + | ( | x | − | 3000 | ) | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | = | 3615 | ( | 5000 | − | 3000 | ) | − | x | ( | 5000 | − | 3000 | ) |
2077 20 | × | 5000 | − | 2077 20 | × | 3000 | + | ( | x | − | 3000 | ) | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | = | 3615 | × | 5000 | − | 3615 | × | 3000 | − | x | ( | 5000 | − | 3000 | ) |
| 519250 | − | 311550 | + | ( | x | − | 3000 | ) | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | = | 18075000 | − | 10845000 | − | x | ( | 5000 | − | 3000 | ) |
| 207700 | + | ( | x | − | 3000 | ) | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | = | 7230000 | − | x | ( | 5000 | − | 3000 | ) |
| 207700 | + | x | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | − | 3000 | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | = | 7230000 | − | x | ( | 5000 | − | 3000 | ) |
| 207700 | + | x | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | − | 3000 | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | = | 7230000 | − | x | × | 5000 | + | x | × | 3000 |
| 207700 | + | x | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | − | 4500 | ( | 1639 10 | − | 2077 20 | ) | = | 7230000 | − | x | × | 5000 | + | x | × | 3000 |
| 207700 | + | x | ( | 1639 10 | − | 2077 20 | ) | × | 3 2 | − | 4500 | ( | 1639 10 | − | 2077 20 | ) | = | 7230000 | − | 2000 | x |
| 207700 | + | x | × | 1639 10 | × | 3 2 | − | x | × | 2077 20 | × | 3 2 | − | 4500 | ( | 1639 10 | − | 2077 20 | ) | = | 7230000 | − | 2000 | x |
| 207700 | + | x | × | 4917 20 | − | x | × | 6231 40 | − | 4500 | ( | 1639 10 | − | 2077 20 | ) | = | 7230000 | − | 2000 | x |
| 207700 | + | 3603 40 | x | − | 4500 | ( | 1639 10 | − | 2077 20 | ) | = | 7230000 | − | 2000 | x |
| 207700 | + | 3603 40 | x | − | 4500 | × | 1639 10 | + | 4500 | × | 2077 20 | = | 7230000 | − | 2000 | x |
| 207700 | + | 3603 40 | x | − | 737550 | + | 467325 | = | 7230000 | − | 2000 | x |
| - | 62525 | + | 3603 40 | x | = | 7230000 | − | 2000 | x |
Transposition :
3603 40 | x | + | 2000 | x | = | 7230000 | + | 62525 |
Combine the items on the left of the equation:
83603 40 | x | = | 7230000 | + | 62525 |
Combine the items on the right of the equation:
83603 40 | x | = | 7292525 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7292525 | ÷ | 83603 40 |
| = | 7292525 | × | 40 83603 |
We obtained :
| x | = | 291701000 83603 |
Convert the result to decimal form :
| x | = | 3489.121204 |