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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 X/144+14/87-0.045-2/44.8 = 0.00195(46+X） .
Question type: Equation
Solution:Original question:
| X | ÷ | 144 | + | 14 | ÷ | 87 | − | 9 200 | − | 2 | ÷ | 224 5 | = | 39 20000 | ( | 46 | + | X | ) |
| Left side of the equation = | X | × | 1 144 | + | 14 87 | − | 9 200 | − | 5 112 |
| = | 1 144 | X | + | 17363 243600 |
1 144 | X | + | 17363 243600 | = | 39 20000 | ( | 46 | + | X | ) |
| Right side of the equation = | 39 20000 | × | 46 | + | 39 20000 | X |
| = | 897 10000 | + | 39 20000 | X |
1 144 | X | + | 17363 243600 | = | 897 10000 | + | 39 20000 | X |
Transposition :
1 144 | X | − | 39 20000 | X | = | 897 10000 | − | 17363 243600 |
Combine the items on the left of the equation:
899 180000 | X | = | 897 10000 | − | 17363 243600 |
Combine the items on the right of the equation:
899 180000 | X | = | 56099 3045000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 56099 3045000 | ÷ | 899 180000 |
| = | 56099 3045000 | × | 180000 899 |
| = | 56099 203 | × | 12 899 |
We obtained :
| X | = | 673188 182497 |
Convert the result to decimal form :
| X | = | 3.688762 |