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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 88992.75-x-2669.78-(7348.03-x/1.09*0.09)-(7348.03-x/1.09*0.09)*0.1 = 0 .
Question type: Equation
Solution:Original question:
355971 4 | − | x | − | 133489 50 | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 1 10 | = | 0 |
| Left side of the equation = | 8632297 100 | − | x | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 1 10 |
8632297 100 | − | x | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 1 10 | = | 0 |
| Left side of the equation = | 8632297 100 | − | x | − | 734803 100 | + | x | ÷ | 109 100 | × | 9 100 | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 1 10 |
| = | 8632297 100 | − | x | − | 734803 100 | + | x | × | 9 109 | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 1 10 |
| = | 3948747 50 | − | 100 109 | x | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 1 10 |
| = | 3948747 50 | − | 100 109 | x | − | 734803 100 | × | 1 10 | + | x | ÷ | 109 100 | × | 9 100 | × | 1 10 |
| = | 3948747 50 | − | 100 109 | x | − | 734803 1000 | + | x | × | 9 1090 |
| = | 78240137 1000 | − | 991 1090 | x |
78240137 1000 | − | 991 1090 | x | = | 0 |
Transposition :
| - | 991 1090 | x | = | 0 | − | 78240137 1000 |
Combine the items on the right of the equation:
| - | 991 1090 | x | = | - | 78240137 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
78240137 1000 | = | 991 1090 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
991 1090 | x | = | 78240137 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 78240137 1000 | ÷ | 991 1090 |
| = | 78240137 1000 | × | 1090 991 |
| = | 78240137 100 | × | 109 991 |
We obtained :
| x | = | 8528174933 99100 |
Convert the result to decimal form :
| x | = | 86056.255631 |