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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+（1613400-X））*3/14 .
Question type: Equation
Solution:Original question:
20392167 100 | + | X | ÷ | 3 | = | ( | 1147099 10 | + | ( | 1613400 | − | X | ) | ) | × | 3 | ÷ | 14 |
| Right side of the equation = | ( | 1147099 10 | + | ( | 1613400 | − | X | ) | ) | × | 3 14 |
20392167 100 | + | 1 3 | X | = | ( | 1147099 10 | + | ( | 1613400 | − | X | ) | ) | × | 3 14 |
| Right side of the equation = | 1147099 10 | × | 3 14 | + | ( | 1613400 | − | X | ) | × | 3 14 |
| = | 3441297 140 | + | ( | 1613400 | − | X | ) | × | 3 14 |
| = | 3441297 140 | + | 1613400 | × | 3 14 | − | X | × | 3 14 |
| = | 3441297 140 | + | 2420100 7 | − | X | × | 3 14 |
| = | 51843297 140 | − | 3 14 | X |
20392167 100 | + | 1 3 | X | = | 51843297 140 | − | 3 14 | X |
Transposition :
1 3 | X | + | 3 14 | X | = | 51843297 140 | − | 20392167 100 |
Combine the items on the left of the equation:
23 42 | X | = | 51843297 140 | − | 20392167 100 |
Combine the items on the right of the equation:
23 42 | X | = | 29117829 175 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 29117829 175 | ÷ | 23 42 |
| = | 29117829 175 | × | 42 23 |
| = | 29117829 25 | × | 6 23 |
We obtained :
| X | = | 174706974 575 |
Convert the result to decimal form :
| X | = | 303838.215652 |