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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 203921.67+X/3 = 114709.90*3+（1613400-X）*3 .
Question type: Equation
Solution:Original question:
20392167 100 | + | X | ÷ | 3 | = | 1147099 10 | × | 3 | + | ( | 1613400 | − | X | ) | × | 3 |
| Right side of the equation = | 3441297 10 | + | ( | 1613400 | − | X | ) | × | 3 |
20392167 100 | + | 1 3 | X | = | 3441297 10 | + | ( | 1613400 | − | X | ) | × | 3 |
| Right side of the equation = | 3441297 10 | + | 1613400 | × | 3 | − | X | × | 3 |
| = | 3441297 10 | + | 4840200 | − | X | × | 3 |
| = | 51843297 10 | − | 3 | X |
20392167 100 | + | 1 3 | X | = | 51843297 10 | − | 3 | X |
Transposition :
1 3 | X | + | 3 | X | = | 51843297 10 | − | 20392167 100 |
Combine the items on the left of the equation:
10 3 | X | = | 51843297 10 | − | 20392167 100 |
Combine the items on the right of the equation:
10 3 | X | = | 498040803 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 498040803 100 | ÷ | 10 3 |
| = | 498040803 100 | × | 3 10 |
We obtained :
| X | = | 1494122409 1000 |
Convert the result to decimal form :
| X | = | 1494122.409 |