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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-(7348.03-x/1.09*0.09)-(7348.03-x/1.09*0.09) = 2669.78 .
Question type: Equation
Solution:Original question:
355971 4 | − | x | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | = | 133489 50 |
| Left side of the equation = | 355971 4 | − | x | − | 734803 100 | + | x | ÷ | 109 100 | × | 9 100 | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) |
| = | 355971 4 | − | x | − | 734803 100 | + | x | × | 9 109 | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) |
| = | 2041118 25 | − | 100 109 | x | − | ( | 734803 100 | − | x | ÷ | 109 100 | × | 9 100 | ) |
| = | 2041118 25 | − | 100 109 | x | − | 734803 100 | + | x | ÷ | 109 100 | × | 9 100 |
| = | 2041118 25 | − | 100 109 | x | − | 734803 100 | + | x | × | 9 109 |
| = | 7429669 100 | − | 91 109 | x |
7429669 100 | − | 91 109 | x | = | 133489 50 |
Transposition :
| - | 91 109 | x | = | 133489 50 | − | 7429669 100 |
Combine the items on the right of the equation:
| - | 91 109 | x | = | - | 7162691 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
7162691 100 | = | 91 109 | 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 :
91 109 | x | = | 7162691 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7162691 100 | ÷ | 91 109 |
| = | 7162691 100 | × | 109 91 |
We obtained :
| x | = | 780733319 9100 |
Convert the result to decimal form :
| x | = | 85794.87022 |