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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 = 0.0015(46+X） .
Question type: Equation
Solution:Original question:
| X | ÷ | 144 | + | 14 | ÷ | 87 | − | 9 200 | − | 2 | ÷ | 224 5 | = | 3 2000 | ( | 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 | = | 3 2000 | ( | 46 | + | X | ) |
| Right side of the equation = | 3 2000 | × | 46 | + | 3 2000 | X |
| = | 69 1000 | + | 3 2000 | X |
1 144 | X | + | 17363 243600 | = | 69 1000 | + | 3 2000 | X |
Transposition :
1 144 | X | − | 3 2000 | X | = | 69 1000 | − | 17363 243600 |
Combine the items on the left of the equation:
49 9000 | X | = | 69 1000 | − | 17363 243600 |
Combine the items on the right of the equation:
49 9000 | X | = | - | 2773 1218000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 2773 1218000 | ÷ | 49 9000 |
| = | - | 2773 1218000 | × | 9000 49 |
| = | - | 2773 406 | × | 3 49 |
We obtained :
| X | = | - | 8319 19894 |
Convert the result to decimal form :
| X | = | - 0.418166 |