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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 21.238/（144*1.06） = 0.08+X/180 .
Question type: Equation
Solution:Original question:
10619 500 | ÷ | ( | 144 | × | 53 50 | ) | = | 2 25 | + | X | ÷ | 180 |
| Multiply both sides of the equation by: | ( | 144 | × | 53 50 | ) |
10619 500 | = | 2 25 | ( | 144 | × | 53 50 | ) | + | X | ÷ | 180 | × | ( | 144 | × | 53 50 | ) |
10619 500 | = | 2 25 | × | 144 | × | 53 50 | + | X | ÷ | 180 | × | ( | 144 | × | 53 50 | ) |
10619 500 | = | 7632 625 | + | X | × | 1 180 | ( | 144 | × | 53 50 | ) |
10619 500 | = | 7632 625 | + | X | × | 1 180 | × | 144 | × | 53 50 |
10619 500 | = | 7632 625 | + | X | × | 106 125 |
Transposition :
| - | 106 125 | X | = | 7632 625 | − | 10619 500 |
Combine the items on the right of the equation:
| - | 106 125 | X | = | - | 22567 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
22567 2500 | = | 106 125 | 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 :
106 125 | X | = | 22567 2500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 22567 2500 | ÷ | 106 125 |
| = | 22567 2500 | × | 125 106 |
| = | 22567 20 | × | 1 106 |
We obtained :
| X | = | 22567 2120 |
Convert the result to decimal form :
| X | = | 10.644811 |